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Costică Mustăţa
Publications

Books

  1. C. Mustăţa, M. Bărbosu, Algebra, analytic geometry and tensorial calculus. Editura Dacia, Cluj-Napoca, Chapters I and II, pag. 9-127, 2000.
  2. C. Mustăţa, I. Taşcu, Applied mathemitcs in economy, RISOPRINT Publishing House, Cluj-Napoca, 2004.

Articles

  1. Mustăţa, C., On the Chebyshev subspaces in normal space of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 2 (1973), 81-87 (MR 52 # 8758).
  2. Mustăţa, C., On the uniqueness of the extension of continuous p-seminorms, (in Romanian) Rev. Anal. Num. Theor. Approx. 2 (1973) 2, 173-177 (MR 53 # 8759) .
  3. Mustăţa, C., Lupu, Gh., Consideration on the ''equilibrium'' electrons distribution function for a homogeneous high frequency, fully ionized plasma, Rev. Roumaine de Physique 18 (1973) 3, 365-372.
  4. Mustăţa, C., A classification of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 3 (1974) 1, 107-111 (MR 52 #670).
  5. Mustăţa, C., A monotony property of the best approximation operator in the space of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 3 (1974) 2, 153-160 (MR57 # 6945).
  6. Mustăţa, C., On the Best Approximation in Metric Spaces, Mathematica - Revue Anal. Num. Theor. Approx., L'Analyse Num. et de Théorie de l'Approximation 4 (1975) 1, 45-50 (MR # 82c: 46052).
  7. Mustăţa, C., A Characterization of Chebyshevian Subspaces of annihilator - type}, Mathematica - Rev. Anal. Numér. Théor. Approx., L'Analyse Numérique et la Théorie de l'Approx. 6 (1977) 1, 51-56 (MR 58 # 29722).
  8. Mustăţa, C., Norm Preserving Extension of Starshaped Lipschitz Functions, Mathematica 19 (42) 2 (1977), 183-187 (MR # 80c: 46031).
  9. Mustăţa, C., Best Approximation and Unique Extension of Lipschitz Functions, Journal of Approx. Theory 19, 3 (1977), 222-230 (MR 55 # 6086).
  10. Mustăţa, C., A Characterization of Semichebyshevian Sets in a Metric Space, Mathematica - Revue Anal. Num. Theor. Approx., L'Analyse Numérique Théor. Approx. 7 (1978) 2, 169-170 (MR # 80g: 41014).
  11. Mustăţa, C., Cobzaş, Şt., Norm Preserving Extension of Convex Lipschitz Functions, Journal of Approx. Theory 24, 3 (1978), 238-244 (MR # 82j: 41034).
  12. Mustăţa, C., The Extension of Starshaped Bounded Lipschitz Functions, L'Analyse Num. Théorie de l'Approx. 9 (1980) 1, 93-99.
  13. Mustăţa, C., On the uniqueness of the extension of real Hölder functions (in Romanian), Sem. Itinerant de Ecuaţii Funcţionale, Aproximare şi Convexitate, 1980, Cluj-Napoca, 91-96.
  14. Mustăţa, C., 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 (MR # 84h: 54017).
  15. Mustăţa, C., On the Extension Problem with Prescribed Norm, Seminar Funct. Anal. and Num. Methods, Preprint Nr.4 (1981), 93-99 (MR # 84f: 46027).
  16. Mustăţa, C., About the Determination of Extremes of Hölder Functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1 (1983), 107-116.
  17. Mustăţa, C., On a Surjectivity Theorem, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1, (1985), 73-84 (MR # 832505).
  18. Mustăţa, C., On the Extension of Hölder Functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1 (1985), 85-92 (MR # 87h: 46068).
  19. Mustăţa, C., On the Extension of Lipschitz Functions, Seminar of Funct. Analysis and Numerical Methods, Preprint Nr.1 (1986), 83-92.
  20. Mustăţa, C., On the uniqueness of Extension of Lipschitz Odd Functions, ''Babeş-Bolyai'' University, Seminar on Optimization Theory, Report Nr.8 (1987), 75-80 (MR # 90c: 41069).
  21. Mustăţa, C., 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 Nr.1 (1987), 93-102 (MR # 977080).
  22. Mustăţa, C., Iancu, C., Error Estimation in the Approximation of Function by Interpolation Cubic Splines, Mathematica 29 (52) 1 (1987), 33-39 (MR # 89f: 41012).
  23. Mustăţa, C., 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 (MR # 90b: 54019).
  24. Mustăţa, C., Andrica, D., An Abstract Korovkin Type Theorem and Applications, Studia Univ. ''Babeş-Bolyai'' XXXIV, fasc. 2 (1989), 44-41 (MR # 91j: 41043).
  25. Mustăţa, C., An Applications of a Theorem of Mc Shane, Seminar on Functional Analysis and Numerical Methods, Preprint Nr.1, (1989), 75-84 (MR # 91j: 54024).
  26. Mustăţa, C., 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 (MR # 94f: 41038).
  27. Mustăţa, C., On a Problem of Extremum, ''Babeş-Bolyai'' Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7 (1991), 87-93 (MR # 94a: 26007).
  28. Mustăţa, C., Selections Associated to Mc Shane's Extension Theorem for Lipschitz Functions, Revue d'Analyse Numérique et de Théorie de l'Approximation 21 (1992) 2, 135-145 (MR # 94h: 46008).
  29. Mustăţa, C., On a contest problem (in Romanian), Lucrările Seminarului ''Didactica Matematicii'', vol.8 (1992), 123-128.
  30. Mustăţa, C., Selections with Values Bernstein Polynomials Associated to the Extension Operator for Lipschitz Functions, Revue d'Analyse Numérique et de Théorie de l'Approximation 22 (1993) 2, 207-216 (MR # 96k: 41047).
  31. Mustăţa, C., Common Selections for the Metric Projections, Mathematica 35 (58) (1993) 2, 193-200 (MR # 96b: 46018).
  32. Mustăţa, C., On the Selections Associated to the Metric Projection, Revue d'Analyse Numérique et de Théorie de l'Approximation 23 (1994) 1, 89-93 (MR # 96b: 46019).
  33. Mustăţa, C., Cobzaş, Şt., Selections associated to the metric projection, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 24, No 1-2 (1995), 45-52.
  34. Mustăţa, C., On the metric projection and the quotient mapping, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 24, No 1-2 (1995), 191-199.
  35. Mustăţa, C., Extension of Bilinear Operators and Best Approximation in 2-normed Spaces, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 25, No 1-2 (1996), 63-75 (în colaborare cu Şt. Cobzaş).
  36. Mustăţa, C., Approximation by spline Functions of the Solutions of a Linear Bilocal Problem, Revue d'Analyse Numérique et de Théorie de l'Approximation 26 (1997) 1-2. 137-148.
  37. Mustăţa, C., A. Mureşan şi R. Mustăţa, The approximation by spline functions of the solutions of a singularly perturbed bilocal problem, Revue d'Analyse Numérique et de Théorie de l'Approximation 27 (1998).
  38. Mustăţa, C., Cobzaş, Şt., Extension of bilinear functionals and best approximation in 2 - normed space, Studia Univ. ''Babeş-Bolyai'', Seria Mathematica, XLIII, Nr.2 (1998), 1-13.
  39. Mustăţa, C., On the derivative-interpolating spline functions of even degree, Bull. St. Univ. Baia Mare, Vol. XIV, Nr.1 (1998) 51-58.
  40. Mustăţa, C., On a Problem of B.A. Karpilovskaya, Revue d'Analyse Numérique et de Théorie de l'Approximation 29 (1999) Nr.2 .
  41. Mustăţa, C., 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.
  42. Mustăţa, C., Cobzaş, Şt., Extension of Lipschitz Functions and Best Approximation, in ''Research on Theory of Allure, Approximation, Convexity and Optimization, SRIMA, Cluj-Napoca, (1999), 3-21.
  43. Mustăţa, C., Some remarks concerning norm preserving extension and best approximation, Rev. Anal. Numer. Theor. Approx., 29 (2000) No.2, pp.173-180.
  44. Mustăţa, C., uniqueness of Extension of Semi-Lipschitz Functions on Quasi-Metric spaces, Bul. Ştiinţ. Univ. Baia Mare, Vol. XVI, No. 2 (2000).
  45. Mustăţa, C., Extension of Semi Lipschitz function on Quasi-Metric spaces, Rev. Anal. Numer. Theor. Approx. 30 (2001) nr. 1, 61-67.
  46. Mustăţa, C., 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.
  47. Mustăţa, C., 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.
  48. Mustăţa, C., Mureşan A., A Galerkin Methods for a singularly perturbed bilocal problem, Bull. St. Univ. Baia Mare, XV, 1-2 (1999), 89-102.
  49. Mustăţa, C., 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.
  50. Mustăţa, C., On the extremal semi-Lipschitz function, Rev. Anal. Numer. Theor. Approx. 31 (2002) Nr.1, 103-108.
  51. Mustăţa, C., A Phelps type result for spaces with asymmetric norms, Bul. St. Univ. Baia Mare, XVIII, Serie B (2002) No.2, 275-280
  52. Mustăţa, C., 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) Nr.2, 187-192.
  53. Costică Mustăţa and Şt. Cobzaş, Extension of bounded linear functionals and best approximation in space with asymmetric norm, Rev. Anal. Numer. Theor. Approx.. 33, No.1 (2004), 39-50.
  54. Costică Mustăţa, Characterization of ε-nearest points in space with asymmetric seminorm, Rev. Anal. Numer. Theorie Approx. 33, No.2 (2004), 203-208.
  55. Costică Mustăţa, On the characterization of generalized nearest point, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Connexity, vol. 2 (2004), 65-74.
  56. C. Mustăţa, On the extension of semi-Lipschitz functions on asymmetric normed spaces, Rev. Anal. Numer. Theor. Approx. 34 (2005) no.2 , 139-150.
  57. S. Cobzas, C. Mustăţa, Best approximation in spaces with asymmetric norm, Rev. Anal. Numer. Theor. Approx. 35, nr.1 (2006), 17-31.
  58. C. Mustăţa, On the converses of the reduction principle in inner product spaces, Studia Univ. Babeş-Bolyai, Mathematica, vol LI, nr.3 (2006), 97-104.
  59. C. Mustăţa, Best Uniform Approximation of semi-Lipschitz function by extension, ANTA 36 (2), pp. 161-171(2007).
  60. C. Mustăţa, Extension and approximation of semi-Lipschitz functions, Annals Univ. De Vest Timişoara, Seria Matematică-Informatică XLV, 2(2007), 83-92.
  61. 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.
  62. Mustata C., On a theorem of Baire about lower semi-continuous functions, Rev. Anal. Numer. Theor. Approx. 37, no.1 (2008), 71-75.
  63. Mustata C., 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.
  64. C. Mustăţa, On the approximation of the global extremum of a semi-Lipschitz function, Mediterr. J. Math. 6 (2009), pp. 169-180.
  65. C. Mustăţa, Extensions of semi-Hölder real valued functions on a quasi-metric space, Rev. Anal. Numer. Theor. Approx., 38 (2009), no. 2, pp. 49-56.
  66. C. Mustăţa, On the shape preserving extensions of a semi-Holder function, Rev. Anal. Numer. Theor. Approx., v. 39 (2010) no. 2, 153-160.

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