Personal Data

Date and place of birth

11 June 1942 Băileşti, district Dolj Romania

Education and degrees

1975	Ph.D. in Mathematics, University Babeş-Bolyai, Cluj-Napoca Scientific advisor: Prof. Dr. Elena Popoviciu Thesis “The best approximation of the functions with given behavior”
1963-1968	Batchelor Degree, Mathematics University Babeş-Bolyai, Cluj-Napoca
1953-1956	High school Băileşti, district Dolj

Employment history

1968-1971	Research assistant at Tiberiu Popoviciu Institute of Numerical Analysis
1971-1979	Researcher at Tiberiu Popoviciu Institute of Numerical Analysis
1979-1990	Senior researcher (III) at Tiberiu Popoviciu Institute of Numerical Analysis
1990-1994	Senior researcher (II) at Tiberiu Popoviciu Institute of Numerical Analysis
1998-2004	Associate Professor at North University of Baia-Mare
1994-2013	Senior researcher (I) at Tiberiu Popoviciu Institute of Numerical Analysis

Editorial activities

• Member of the Editorial Board of the (ISI ranked) journal Carpathian Journal of Mathematics (2008-2015?)
• Member of the Editorial Board of Journal of Numerical Analysis and Approximation Theory, edited at the Institute, under the auspices of the Romanian Academy (since ?)
• Deputy Editor-in-Chief of the journal Mathematica, edited at the Babes-Bolyai University, under the auspices of the Romanian Academy (between ?)
• Member of the Editorial Board of the journal Creative Mathematics and Informatics (between 2008-2015)
• Member of the Editorial Board of the journal Southwest Journal of Pure and Applied Mathematics Cameron University, Lawton, USA (between 1997-2004)

Recent research domains

• Approximation and best approximation in function spaces and abstract spaces
• Theorems of extension and relationship with problems of best approximation
• Existence and study of properties for selections associated to metric projections

Past research activity:

• Approximation by linear and positive operators
• Approximation of solutions of boundary problems for differential equations
• Spline functions and applications
• M-ideals in metric spaces

Grants

1. GAR nr.4122GR/1998,1990 cu MCT, Theme: Appromaximations of the solutions for PDE by means of spline functionms and wavelets. (coordinatortor).
2. GAR nr.6100GR/2000 cu ANSTI, Theme: Numerical mathods for solving boundary problems for ODE and PDE (cooordinator).
3. GAR nr.65/2001 of the Romanian Academy, Theme: The unknown incremental method applied to diffusion-convection problems (coordinator)
4. GAR nr.46/2002 of the Romanian Academy, Theme: The unknown incremental method applied to diffusion-convection problems (coordinator)
5. GAR no.15/2003 of the Romanian Academy
6. GAR no.13/2004 of the Romanian Academy

Other professional activities

• Scientific secretary at Tiberiu Popoviciu Institute of Numerical Analysis
• Reviewer at “Zentralblatt fur Mathematik” and “Mathematical Reviews”.
• Member in the Expert Committee of CNCSIS.

Didactic activity

• Linear algebra and analytical geometry
• Functional analysis
• The best approximation
• Operators theory
• Applied mathematics in economy

Articles

1. C. Mustăța, Sandwich theorems for radiant functions, J. Numer. Anal. Approx. Theory, 44 (2015) no. 1, 81-90.
2. C. Mustăţa, On the extensions preserving the shape of semi-Holder function, Results Math. 63 (2013), 425-433.
3. C. Mustăţa, On the existence and uniqueness of extensions of semi-Holder real-valued functions, Rev. Anal. Numer. Theor. Approx., 39 (2010) no. 2, 134-140.
4. C. Mustăţa, Extensions of semi-Hölder real valued functions on a quasi-metric space, Rev. Anal. Numer. Theor. Approx., 38 (2009), no. 2, pp. 164-169.
5. C. Mustăţa, On the approximation of the global extremum of a semi-Lipschitz function, Mediterr. J. Math. 6 (2009), pp. 169-180.
6. C. Mustăţa, Asupra extensiei si aproximarii functiilor semi-Lipschitz reale, Seminarul Tiberiu Popoviciu de Ecuatii Functionale, Aproximare si convexitate, 24 – 27 septembrie 2008, Cluj-Napoca, pp. 25-29.
7. C. Mustăţa, On a theorem of Baire about lower semi-continuous functions, Rev. Anal. Numer. Theor. Approx. 37 (2008) no. 1, 71-75.
8. C. Mustăţa, Best uniform approximation of a bounded function by extensions of semi-Lipschitz functions, Annals of the Tiberiu Popoviciu Seminar of Functional Equations Approximation and Convexity, vol. 5, 2007, 87-98.
9. C. Mustăţa, Extension and approximation of semi-Lipschitz functions, Analele Univ. de Vest Timişoara, Seria Matematică-Informatică, 45 (2007) no. 2, 83-92. (pdf, abstr, kw, refs, ??)
10. C. Mustăţa, Best uniform approximation of semi-Lipschitz function by extension, Rev. Anal. Numér. Théor. Approx. 36 (2007) 2, pp. 161-171.
11. C. Mustăţa, On the converses of the reduction principle in inner product spaces, Studia Univ. Babeş-Bolyai, Mathematica, vol LI  (2006) no. 3, 97-104.
12. S. Cobzas, C. Mustăţa, Best approximation in spaces with asymmetric norm, Rev. Anal. Numer. Theor. Approx. 35 (2006) no. 1, 17-31.
13. C. Mustăţa, On the extension of semi-Lipschitz functions on asymmetric normed spaces, Rev. Anal. Numer. Theor. Approx. 34 (2005) no.2 , 139-150.
14. C. Mustăţa, On the characterization of generalized nearest point, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, vol. 2 (2004), 65-74. (refs, abstr, pdf)
15. C. Mustăţa, Characterization of ε-nearest points in space with asymmetric seminorm, Rev. Anal. Numer. Theor. Approx. 33 (2004) no. 2, 203-208.
16. C. Mustăţa and Şt. Cobzaş, Extension of bounded linear functionals and best approximation in space with asymmetric norm, Rev. Anal. Numer. Theor. Approx.. 33 (2004) no. 1, 39-50.
17. C. Mustăţa, On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space, Rev. Anal. Numer. Theor. Approx. 32 (2003) no. 2, 187-192.
18. C. Mustăţa, A Phelps type result for spaces with asymmetric norms, Bul. Şt. Univ. Baia Mare, Seria B, Fascicola matematică-informatică, 18 (2002) no. 2, 275-280.
19. C. Mustăţa, On the extremal semi-Lipschitz function, Rev. Anal. Numer. Theor. Approx. 31 (2002) Nr. 1, 103-108.
20. C. Mustăţa, Extension and approximation of semi-Lipschitz functions on quasi-metric linear spaces, Proceedings of the International Symposium on Numerical Analysis and Approximation Theory 9-11 May 2002, 362-385.
21. C. Mustăţa, Extension of convex semi-Lipschitz Functions on quasi-metric linear spaces, Seminaire de la Théorie de la Meilleure Approximation, Convexité et Optimization, Cluj-Napoca, 29 November 2001, 85-92.
22. C. Mustăţa, Extension of starshaped bounded semi-Lipschitz function on a quasi metric linear spaces. ”135-th Pannonian Applied Mathematical Meeting” 4-7 oct. 2001, 285-291.
23. C. Mustăţa, Extension of semi Lipschitz function on quasi-metric spaces, Rev. Anal. Numer. Theor. Approx. 30 (2001) nr. 1, 61-67.
24. C. Mustăţa, Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces, Bul. Ştiinţ. Univ. Baia Mare, Seria B, Fascicola matematică-informatică, 16 (2000) no. 2, pp. 207-212.
25. C. Mustăţa, Some remarks concerning norm preserving extension and best approximation, Rev. Anal. Numer. Theor. Approx., 29 (2000) No. 2, pp. 173-180.
26. C. Mustăţa, Şt. Cobzaş, Extension of Lipschitz functions and best approximation, in ”Research on Theory of Allure, Approximation, Convexity and Optimization, SRIMA, Cluj-Napoca, (1999), 3-21.
27. C. Mustăţa, The approximation by spline functions of the solution of a polylocal problem for a differential equation of order p, ”Conference on Analysis, Functional Equations, Approximation and Convexity”, Cluj-Napoca, October 15-16, (1999), 197-201.
28. C. Mustăţa, On a problem of B.A. Karpilovskaya, Rev. Anal. Numér. Théor. Approx. 29 (1999) no. 2, pp. 179-189.
29. A.C. Mureşan, C. Mustăţa, A Galerkin method for a singularly perturbed bilocal problem, Bull. Şt. Univ. Baia Mare, Seria B, Fascicola Matematică-informatică, 15 (1999) nos. 1-2, 89-102.
30. C. Mustăţa, On the derivative-interpolating spline functions of even degree, Bull. Şt. Univ. Baia Mare, Seria B, Fascicola Matematică-informatică, 14 (1998) no. 1, 51-58.
31. C. Mustăţa, Şt. Cobzaş, Extension of bilinear functionals and best approximation in 2-normed space, Studia Univ. ”Babeş-Bolyai”, Seria Mathematica, XLIII, Nr.2 (1998), 1-13.
32. C. Mustăţa, A. Mureşan and R. Mustăţa, The approximation by spline functions of the solutions of a singularly perturbed bilocal problem, Rev. Anal. Numér. Théor. Approx. 27 (1998).
33. C. Mustăţa, Approximation by spline functions of the solutions of a linear bilocal problem, Rev. Anal. Numér. Théor. Approx. 26 (1997) 1-2. 137-148.
34. C. Mustăţa, Şt. Cobzaş, Extension of bilinear operators and best approximation in 2-normed spaces, Rev. Anal. Numér. Théor. Approx., 25 (1996) nos. 1-2, 63-75.
35. C. Mustăţa, On the metric projection and the quotient mapping, Rev. Anal. Numér. Théor. Approx., 24 (1995) nos. 1-2, 191-199.
36. C. Mustăţa, Şt. Cobzaş, Selections associated to the metric projection, Rev. Anal. Numér. Théor. Approx., 24 (1995) nos. 1-2, 45-52.
37. C. Mustăţa, On the selections associated to the metric projection, Rev. Anal. Numér. Théor. Approx. 23 (1994) 1, 89-93 (MR # 96b: 46019).
38. C. Mustăţa, Common selections for the metric projections, Mathematica 35 (58) (1993) 2, 193-200.
39. C. Mustăţa, Selections with values Bernstein polynomials associated to the extension operator for Lipschitz functions, Rev. Anal. Numér. Théor. Approx. 22 (1993) 2, 207-216.
40. C. Mustăţa, Selections associated to McShane’s extension theorem for Lipschitz functions, Rev. Anal. Numér. Théor. Approx. 21 (1992) 2, 135-145.
41. C. Mustăţa, On a problem of extremum, ”Babeş-Bolyai” Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7 (1991), 87-93.
42. C. Mustăţa, Extension of Hölder functions and some related problems of best approximation, ”Babeş-Bolyai” Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr. 7 (1991), 71-86.
43. C. Mustăţa, An application of a theorem of McShane, Seminar on Functional Analysis and Numerical Methods, Preprint Nr. 1 (1989), 75-84.
44. C. Mustăţa, D. Andrica, An abstract Korovkin type theorem and applications, Studia Univ. ”Babeş-Bolyai” XXXIV, fasc. 2 (1989), 44-51.
45. C. Mustăţa, M-ideals in metric spaces, ”Babeş-Bolyai” University, Faculty of Math. and Physics, Research Seminars, Seminar on Mathematica Analysis, Preprint Nr.7 (1988), 67-74.
46. C. Mustăţa, C. Iancu, Error estimation in the approximation of function by interpolation cubic splines, Mathematica 29 (52) 1 (1987), 33-39.
47. C. Mustăţa, On the exactity of the error evaluation in the approximation by cubic spline of interpolation, ”Babeş-Bolyai” University, Faculty of Math. and Physics, Research Seminars, Seminar on Functional Analysis and Numerical Methods, Preprint no. 1 (1987), 93-102.
48. C. Mustăţa, On the uniqueness of extension of Lipschitz odd functions, ”Babeş-Bolyai” University, Seminar on Optimization Theory, Report no. 8 (1987), 75-80.
49. C. Mustăţa, On the extension of Lipschitz functions, Seminar of Funct. Analysis and Numerical Methods, Preprint Nr. 1 (1986), 83-92.
50. C. Mustăţa, On the extension of Hölder functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr. 1 (1985), 85-92.
51. C. Mustăţa, On a surjectivity theorem, Seminar of Functional Analysis and Numerical Methods, Preprint Nr. 1, (1985), 73-84.
52. C. Mustăţa, About the determination of extremes of Hölder functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr. 1 (1983), 107-116.
53. C. Mustăţa, On the extension problem with prescribed norm, Seminar Funct. Anal. and Num. Methods, Preprint Nr. 4 (1981), 93-99.
54. C. Mustăţa, Extension of bounded Lipschitz functions and some related problems of best approximation, Seminar of Functional Analysis and Numerical Methods, Preprint Nr. 1 (1980), 1-22.
55. C. Mustăţa, On the uniqueness of the extension of real Hölder functions, Sem. Itinerant de Ecuaţii Funcţionale, Aproximare şi Convexitate, 1980, Cluj-Napoca, 91-96 (in Romanian).
56. C. Mustăţa, The extension of starshaped bounded Lipschitz functions, Anal. Numer. Théor. Approx. 9 (1980) 1, 93-99.
57. C. Mustăţa, Şt. Cobzaş, Norm preserving extension of convex Lipschitz functions, J. Approx. Theory 24 (1978) no. 3, 238-244.
58. C. Mustăţa, A characterization of semi-chebyshevian sets in a metric space, Anal. Numér. Théor. Approx., 7 (1978) 2, 169-170.
59. C. Mustăţa, Best approximation and unique extension of Lipschitz functions, J. Approx. Theory 19 (1977) no. 3, 222-230.
60. C. Mustăţa, Norm preserving extension of starshaped Lipschitz functions, Mathematica 19 (42) 2 (1977), 183-187.
61. C. Mustăţa, A characterization of Chebyshevian subspaces of \(Y^\perp\)-type, Anal. Numér. Théor. Approx., 6 (1977) 1, 51-56.
62. C. Mustăţa, On the best approximation in metric spaces, Anal. Numér. Théor. Approx., 4 (1975) 1, 45-50.
63. C. Mustăţa, A monotony property of the best approximation operator in the space of Lipschitz functions, Rev. Anal. Numer. Teoria Approximatiei 3 (1974) 2, 153-160 (in Romanian).
64. C. Mustăţa, A classification of Lipschitz functions, Rev. Anal. Numer. Teoria Approximatiei 3 (1974) 1, 107-111 (in Romanian).
65. C. Mustăţa, Gh. Lupu, Consideration on the ”equilibrium” electrons distribution function for a homogeneous high frequency, fully ionized plasma, Rev. Roumaine de Physique 18 (1973) 3, 365-372.
66. C. Mustăţa, On the uniqueness of the extension of continuous p-seminorms, Rev. Anal. Numer. Teoria Approximatiei 2 (1973) no. 2, 173-177 (in Romanian).
67. C. Mustăţa, On the Chebyshev subspaces in normed space of Lipschitz functions, Rev. Anal. Numer. Teoria Approximatiei, 2 (1973) no. 1, 81-87 (in Romanian).

PhD Thesis

• The best approximation of the functions with given behavior, Scientific advisor Prof. Dr. Elena Popoviciu, University Babeş-Bolyai, Cluj-Napoca, 1975.

Other works

1. C. Mustăţa, On a contest problem, Lucrările Seminarului ”Didactica Matematicii”, vol. 8 (1992), 123-128 (in Romanian).

Other works