Convex functions of order \(n\) and \(P_n\)-simple functionals

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  • Radu Precup "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Alexandru Lupaş, Mean value theorems for the Fourier-Jacobi coefficients. (Romanian) Rev. Anal. Numer. Teoria Aproximaţiei 3 (1974), no. 1, 79-84 (1975), MR0387937.

E. Popoviciu, Teoreme de medie din analiza matematică şi legătura lor cu teoria interpolării, Ed. Dacia, Cluj, 1972 (in Romanian).

E. Popoviciu, Sur une allure de quasi-convexite d'ordre supeŕrieur, Math. Rev. Anal. Numér Théor. Approximation, anal. Numér. Théor, Approximation 11 (1982), pp. 129-137.

Tiberiu Popoviciu, Deux remarques sur les fonctions convexes. (French) Bull. Sect. Sci. Acad. Roum. 20 (1938), 187-191 (or 45-49) (1939), MR0000418.

T. Popoviciu, Les fonctions convexes, Hermann & Cie, Paris, 1945.

T. Popoviciu, Asupra restului în unele formule liniare de aproximare ale analizei, Stud. Cerc. Mat. (Cluj) 10 (1959), pp. 337-389 (in Romanian).

Radu Precup, Fonctions convexes et fonctionnelles de forme simple. (French) [Convex functions, and functionals of simple form] Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-Napoca, 1988), 269-274, Preprint, 88-6, Univ. "Babeş-Bolyai", Cluj-Napoca, 1988, MR0993581.

H. T. Wang, Convex functions and Fourier coefficients, Proc. Amer. Math. Soc. 94 (1985), pp. 641-646.

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Published

1989-08-01

How to Cite

Precup, R. (1989). Convex functions of order \(n\) and \(P_n\)-simple functionals. Anal. Numér. Théor. Approx., 18(2), 161–170. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1989-vol18-no2-art7

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Vol. 18 No. 2 (1989)

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