A novel class of integral inequalities with graphical approach and diverse applications

Muhammad Samraiz; Tahira Atta; Saima Naheed; Thabet Abdeljawad; Muhammad Tanveer Ghaffar

doi:10.1080/13873954.2024.2326818

A novel class of integral inequalities with graphical approach and diverse applications

Muhammad Samraiz, Tahira Atta, Saima Naheed, Thabet Abdeljawad^*, Muhammad Tanveer Ghaffar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.

Original language	English
Pages (from-to)	156-178
Number of pages	23
Journal	Mathematical and Computer Modelling of Dynamical Systems
Volume	30
Issue number	1
DOIs	https://doi.org/10.1080/13873954.2024.2326818
Publication status	Published - 2024
Externally published	Yes

Keywords

26A33
26A51
26D15
MSC 2020:26D10
h-convex function Hermite-Hadamard type inequalities Hölder’s inequality

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10.1080/13873954.2024.2326818

Cite this

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abstract = "In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.",

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author = "Muhammad Samraiz and Tahira Atta and Saima Naheed and Thabet Abdeljawad and Ghaffar, {Muhammad Tanveer}",

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AU - Atta, Tahira

AU - Naheed, Saima

AU - Abdeljawad, Thabet

AU - Ghaffar, Muhammad Tanveer

PY - 2024

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AB - In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.

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KW - 26A51

KW - 26D15

KW - MSC 2020:26D10

KW - h-convex function Hermite-Hadamard type inequalities Hölder’s inequality

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ER -

A novel class of integral inequalities with graphical approach and diverse applications

Abstract

Keywords

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