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Mathematics
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Mathematics
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Mathematics
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Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions

Authors: Artion Kashuri; Muhammad Samraiz; Gauhar Rahman; Zareen A. Khan;

Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions

Abstract

In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex. Finally, many interesting Ostrowski- and Chebyshev-type inequalities are given as well.

Keywords

Beesack inequality, Chebyshev inequality, convexity, Hölder inequality, QA1-939, Wirtinger inequality, Ostrowski inequality, Mathematics, Wirtinger inequality; Beesack inequality; Chebyshev inequality; Ostrowski inequality; Hölder inequality; convexity

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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!
3
Top 10%
Average
Average
gold