On (β, α) - Logarithmically Convex Functions in the First and Second Sense with Their Inequalities

Açıkel, Abdullah; Tunç, Mevlüt

doi:10.12816/0033920

IJOPCSM

2016

DOI: 10.12816/0033920

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On (β, α) - Logarithmically Convex Functions in the First and Second Sense with Their Inequalities

Abdullah Açıkel¹,

Mevlüt Tunç²

Abstract: In the paper, the authors introduce a new concept "(β, α)-logarithmically convex functions in the first and second sense" and establish Hermite-Hadamard type integral inequalities for these convexities.

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2024

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Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions

Xi,

Wang,

2024

Georgian Mathematical Journal

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In the paper, the authors establish several integral inequalities of the Ostrowski type for s-logarithmically convex functions. These integral inequalities modify the conditions and correct errors in two main theorems of the paper [A. O. Akdemir and M. Tunç, Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications, Georgian Math. J. 22 (2015), no. 1, 1–7].

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Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions

Xi,

Wang,

2024

Georgian Mathematical Journal

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show abstract

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On (β, α) - Logarithmically Convex Functions in the First and Second Sense with Their Inequalities

Abstract: In the paper, the authors introduce a new concept "(β, α)-logarithmically convex functions in the first and second sense" and establish Hermite-Hadamard type integral inequalities for these convexities.

Cited by 1 publication

References 8 publications

Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions

Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions

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