Further refinements and inequalities of Fejer's type via GA-convexity

Authors

DOI:

https://doi.org/10.11121/ijocta.1482

Keywords:

Hermite-Hadamard inequality, convex function, GA-convex function, Fejer inequality

Abstract

In this study, we introduce some new mappings in connection with Hermite-Hadamard and Fejer type integral inequalities which have been proved using the GA-convex functions. As a consequence, we obtain certain new inequalities of the Fejer type that provide refinements of the Hermite-Hadamard and Fejer type integral inequalities that have already been obtained.

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Author Biographies

Muhammad Amer Latif, Basic Sciences Unit, Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia

Muhammad Amer Latif is an assistant professor at Department of Basic Unit, Preparatory Year, King Faisal University. He received his Ph.D. in Mathematics from the University of Witwatersrand, Johannesburg, South Africa. His research interest is in Mathematical Inequalities, Special Functions, Fractional Calculus, Quantum Calculus, Numerical Analysis and Applied Mathematics. He has more than 150 published papers in high reputation journals.

Huseyin Budak, Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, Turkiye

Huseyin Budak is an associate professor at Department of Mathematics, Faculty of Science and Arts, Duzce University. He received his Ph.D. in Mathematics from the Duzce University, Turkiye. His research interest is in Mathematical Inequalities, Special Functions, Fractional Calculus, Quantum Calculus, Qualitative Analysis, Numerical Analysis and Applied Mathematics. He has more than 400 published papers in high reputation journals.

Artion Kashuri, Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania

Artion Kashuri is an associate professor at Department of Mathematical Engineering, Polytechnic University of Tirana. He received his Ph.D. in Mathematics from the University of Vlora, Albania. His research interest is in Mathematical Inequalities, Special Functions, Fractional Calculus, Quantum Calculus, Numerical Analysis and Applied Mathematics. He has more than 200 published papers in high reputation journals.

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Published

2024-07-12
CITATION
DOI: 10.11121/ijocta.1482
Published: 2024-07-12

How to Cite

Amer Latif, M. ., Budak, H. ., & Kashuri, A. (2024). Further refinements and inequalities of Fejer’s type via GA-convexity. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 14(3), 229–248. https://doi.org/10.11121/ijocta.1482

Issue

Vol. 14 No. 3 (2024): IJOCTA

Section

Research Articles

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Copyright (c) 2024 Muhammad Amer Latif, Huseyin Budak, Artion Kashuri

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