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zbMATH Open
Article . 2024
Data sources: zbMATH Open
Studia Universitatis Babes-Bolyai Matematica
Article . 2024 . Peer-reviewed
Data sources: Crossref
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Better Approximations for Quasi-Convex Functions

Better approximations for quasi-convex functions
Authors: Huriye Kadakal;

Better Approximations for Quasi-Convex Functions

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.

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Turkey
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Keywords

Integral-Inequalities, Hermite-Hadamard inequality, Simpson and Ostrowski type inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hölder-İşcan inequality, midpoint and trapezoid type inequality, quasi-convex functions, Convexity of real functions in one variable, generalizations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green