Journal of Mathematical Analysis and Modeling

Yazarlar: Muhammad Tariq Muhammad Tariq, Hijaz Ahmad, Soubhagya Kumar Sahoo, Jamshed Nasir

Konular:-

DOI:10.48185/jmam.v2i3.330

Anahtar Kelimeler:Convex function,Hölder’s inequality,Power,Ean integral inequality,M–type Convexity,Exponential convex function. 2010 MSC: 26A51,26A33,26D07,26D10,26D15

Özet: In this present case, we focus and explore the idea of a new family of convex function namely exponential type m–convex functions. To support this newly introduced idea, we elaborate some of its nice algebraic properties. Employing this, we investigate the novel version of Hermite–Hadamard type integral inequality. Furthermore, to enhance the paper, we present several new refinements of Hermite–Hadamard (H−H) inequality. Further, in the manner of this newly introduced idea, we investigate some applications of special means. These new results yield us some generalizations of the prior results in the literature. We believe, the methodology investigated in this paper will further inspire intrigued researchers.

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