Some new integral inequalities for exponential type P-functions

In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.

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Publication Details

Journal
Annals of the University of Craiova Mathematics and Computer Science Series
Published
2024-12-25
DOI
https://doi.org/10.52846/ami.v51i2.1745
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

Some new integral inequalities for exponential type P-functions

Huriye Kadakal, Mahir Kadakal, İşcan İmdat
Annals of the University of Craiova Mathematics and Computer Science Series
Mathematical Inequalities and Applications
article

Some new integral inequalities for exponential type P-functions

Huriye Kadakal, Mahir Kadakal, İşcan İmdat
article en

Abstract

In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.

Annals of the University of Craiova Mathematics and Computer Science SeriesVol. 51(2)
Bayburt University (TR), Giresun University (TR)
Openalex Percentile: Top 57%
Mathematical Inequalities and Applications
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