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Weighted Ostrowski type inequalities for co-ordinated s-convex functions

2022
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Advisor: Doç. Dr. Mehmet Eyüp Kiriş

Abstract (EN)

This thesis study consist of five chapters. The first chapter is an introduction and information on the Inequality Theory and the history of Convex Functions is presented. In the second chapter, basic definitions and concepts for convex functions, convex functions in co-ordinates and s–convex functions in the second sense are discussed. In the third chapter, lemmas and theorems in the literature about some weighted Ostrowski type inequalities obtained by using the convexity of functions in co-ordinates are given. The integral inequalities obtained by using the lemmas given in this section formed the basis for he thesis study. In the fourth chapter, by using weighted Ostrowski type inequalities, some new integral inequalities related to s–convexity of s–convex functions in co-ordinates are obtained. In the fifth section, which is the last section, the sources in the literature used during the study are listed.

Author

Dr. Gözde Bayrak

How to Cite

Gözde Bayrak (Master Thesis). Weighted Ostrowski type inequalities for co-ordinated s-convex functions, 2022, Afyon Kocatepe University.

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