HG-CONVEX FUNCTIONS

In this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard’s type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.

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Publication Details

Journal
Journal of Science and Arts
Published
2024-12-23
DOI
https://doi.org/10.46939/j.sci.arts-24.4-a08
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

HG-CONVEX FUNCTIONS

İmdat Işcan, Kerim Bekar, Mahir Kadakal, NAGİHAN KURT GÜLSU
Journal of Science and Arts
Mathematical Inequalities and Applications
article

HG-CONVEX FUNCTIONS

İmdat Işcan, Kerim Bekar, Mahir Kadakal, NAGİHAN KURT GÜLSU
article en

Abstract

In this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard’s type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.

Journal of Science and ArtsVol. 24(4)
Bayburt University (TR), Giresun University (TR)
Reduced inequalities
Openalex Percentile: Top 61%
Mathematical Inequalities and Applications
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