Fejer inequality for s-convex functions in the fourth sense

Eken, Zeynep

doi:10.7153/jmi-2022-16-02

Cited by 2 publications

(2 citation statements)

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“…Proof One can easily prove this by putting in the inequality (15). Proof One can easily prove this by putting in the inequality (15).…”

Section: Refinements Of Ostrowski Type Inequality For S-convex Functi...mentioning

confidence: 96%

Some new integral inequalities for s-convex functions of exponential type and their applications

Bakht

Anwar

2023

Preprint

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In this paper, we propose and analyze the concept of s-convex function of exponential type, as well as some of its algebraic properties are discussed. In addition, for the newly suggested class of functions, we demonstrate several new integral inequalities of the Hermite-Hadamard (H-H) and well known Ostrowski type. Furthermore, we explore various variants of the H-H and Ostrowski type inequalities for a function whose first absolute derivative at a certain power is s-convex function of exponential type. In accordance with this newly proposed concept, we studied various applications of special means. We hope that the technique studied in this work will further spark the interest of interested scholars. AMS Subject Classification: Primary 26D15; secondary 26A51

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“…Proof One can easily prove this by putting in the inequality (15). Proof One can easily prove this by putting in the inequality (15).…”

Section: Refinements Of Ostrowski Type Inequality For S-convex Functi...mentioning

confidence: 96%

Some new integral inequalities for s-convex functions of exponential type and their applications

Bakht

Anwar

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Many researchers have done a lot of work to refine and extend it for many distinct types of functions [13,14]. Definition 1.1 ( [15]) If the inequality given below holds then the function Ξ : I → ℜ is said to be s-convex in the fourth sense…”

Section: Introductionmentioning

confidence: 99%

Some new integral inequalities for s-convex functions of exponential type

Anwar

2023

Preprint

View full text Add to dashboard Cite

In this paper, we propose and analyze the concept of s-convex function ofexponential type, as well as some of its algebraic properties are discussed. Inaddition, for the newly suggested class of functions, we demonstrate several newintegral inequalities of the Hermite-Hadamard (H-H) type. Furthermore, weexplore various variants of the H-H type inequalities for a function whose firstabsolute derivative at a certain power is s-convex function of exponential type. Inaccordance with this newly proposed concept, we studied various applications ofspecial means. We hope that the technique studied in this work will further sparkthe interest of interested scholars. AMS Subject Classification: Primary 26D15; secondary 26A51

show abstract

Fejer inequality for s-convex functions in the fourth sense

Cited by 2 publications

References 0 publications

Some new integral inequalities for s-convex functions of exponential type and their applications

Some new integral inequalities for s-convex functions of exponential type and their applications

Some new integral inequalities for s-convex functions of exponential type

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