Hermite-Hadamard type inequalities via m and (α, m)-convexity

• Autorzy: Tunç M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, two new integral inequalities of Hadamard-type for product of m and (α, m)-convex functions and their applications for special means are given.

Słowa kluczowe

EN

Hadamard's inequality; Chebyshev's inequality; m-convex; product of two functions

PL

nierówność Hadamarda; nierówność Czebyszewa; iloczyn dwóch funkcji

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 3
• Strony: 475--483
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Tunç M.

• Department of Mathematics, Faculty of Science and Arts, Kilis 7 Aralik University, Kilis, 79000, Turkey

Bibliografia

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• [5] D. S. Mitrinović, J. Pečarić, A. M. Fink, Classical and New Inequalities in Analysis, KluwerAcademic, Dordrecht, 1993.
• [6] B. G. Pachpatte, On some inequalities for convex functions, RGMIA Res. Rep. Coll. 6(1) (2003), 1–9.
• [7] G. H. Toader, On a generalization of the convexity, Mathematica 30(53) (1988), 83–87.
• [8] A. Winckler, Allgemenie Sötze zur Theorie der unregelmasssigen Beobachtungsfehler, Sitzungsberichte der Wiener Akademie 53 (1866), 6–41.