Better Approximations for Quasi-Convex Functions-Reference-Cited by-同舟云学术

Better Approximations for Quasi-Convex Functions

Published:2024-06-14 Issue:2 Volume:69 Page:267-281
ISSN:0252-1938
Container-title:Studia Universitatis Babes-Bolyai Matematica
language:
Short-container-title:Stud. Univ. Babes-Bolyai Math.

Author:

,Kadakal Huriye^ORCID

Abstract

In this paper, by using Hölder-İşcan, Hölder integral inequality and a general identity for differentiable functions we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained Hölder-İşcan integral inequality is better than the result obtained Hölder inequality. Keywords: Hölder-İşcan scan inequality, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, midpoint and trapezoid type inequality, quasi-convex functions.

Publisher

Babes-Bolyai University Cluj-Napoca

Reference21 articles.

1. "1. Dragomir, S.S., Pearce, C.E.M., Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.

2. 2. Dragomir, S.S., Pečarić, J., Persson, L.E., Some inequalities of Hadamard type, Soochow Journal of Mathematics, 21(3)(1995), 335-341.

3. 3. Dragomir, S.S., Rassias, Th.M., Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publishers, Dordrecht, Boston, London, 2002.

4. 4. Hadamard, J., Étude sur les propriétés des fonctions entières en particulier d'une fonction considérée par Riemann, J. Math. Pures Appl., 58(1893), 171-215.

5. 5. İşcan, İ., New estimates on generalization of some integral inequalities for s-convex functions and their applications, International Journal of Pure and Applied Mathematics, 86(4)(2013), 727-746.