The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type
DOI:
https://doi.org/10.53391/mmnsa.2021.01.004Keywords:
Convex function, m-convex function, s-type convex function, Hölder's inequality, improved power-mean integral inequalityAbstract
The theory of convexity plays an important role in various branches of science and engineering. The main objective of this work is to introduce the idea of a generalized convex function by unifying s-type m-convex function and Raina type function. In addition, some beautiful algebraic properties and examples are discussed. Applying this new definition, we explore a new sort of Hermite-Hadamard inequality. Furthermore, to enhance the paper we investigate several new estimations of Hermite-Hadamard type inequality. The concepts and tools of this paper may invigorate and revitalize for additional research in this mesmerizing and absorbing field of mathematics.
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Copyright (c) 2021 Muhammad Tariq, Hijaz Ahmad, Soubhagya Kumar Sahoo
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