Mathematical Modelling and Numerical Simulation with Applications

Mathematical Modelling and Numerical Simulation with Applications

The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type

Yazarlar: Muhammad Tariq, Hijaz Ahmad, Soubhagya Kumar Sahoo

Cilt 1 , Sayı 1 , 2021 , Sayfalar 32-43

Konular:-

DOI:10.53391/mmnsa.2021.01.004

Anahtar Kelimeler:Convex function,M,Onvex function,S,Ype convex function,Hölder's inequality,Improved power,Ean integral inequality

Özet: 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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@article{2021, title={The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type}, volume={1}, number={32–43}, publisher={Mathematical Modelling and Numerical Simulation with Applications}, author={Muhammad Tariq,Hijaz Ahmad,Soubhagya Kumar Sahoo}, year={2021} }
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Muhammad Tariq,Hijaz Ahmad,Soubhagya Kumar Sahoo. (2021). The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type (Vol. 1). Vol. 1. Mathematical Modelling and Numerical Simulation with Applications.
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Muhammad Tariq,Hijaz Ahmad,Soubhagya Kumar Sahoo. The Hermite-Hadamard Type Inequality and Its Estimations via Generalized Convex Functions of Raina Type. no. 32–43, Mathematical Modelling and Numerical Simulation with Applications, 2021.
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