Fejér–Pachpatte–Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

Saad Ihsan Butt; Saba Yousaf; Khuram Ali KhanRostin Matendo MabelaAbdullah M. AlsharifMuhammad Shoaib Anwar

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Fejér–Pachpatte–Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

机译：Fejér–Pachpatte–Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

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In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite–Hadamard–Mercer-type inequalities are presented for harmonically convex functions involving fractional integral operators with exponential kernel. Then, weighted Hadamard–Fejér–Mercer-type inequalities involving exponential function as kernel are proved. Finally, Pachpatte–Mercer-type inequalities for products of harmonically convex functions via fractional integral operators with exponential kernel are constructed.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第7期|1.1-1.19|共19页
作者
Saad Ihsan Butt; Saba Yousaf; Khuram Ali KhanRostin Matendo MabelaAbdullah M. AlsharifMuhammad Shoaib Anwar;
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Department of Mathematics COMSATS University Islamabad Islamabad Lahore Campus;

Department of Mathematics University of Sargodha Sargodha 40100;

Department of Maths and Computer Science University of KinshasaDepartment of Mathematics and Statistics College of Science Taif University P. O. Box 11099 Taif 21944;

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Fejér–Pachpatte–Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

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