Generalized Ostrowski Type Inequalities Via Majorization

Abstract

In this study, new and general variants have been obtained of Ostrowski type integral inequality whose differentiable function is convex involving majorization concept that plays a key role in generalization of the results. We scrutinise and display a novel auxiliary result for the differentiable function pertaining Riemann-Liouville fractional integral operator. Thus by employing Niezgoda's Jensen-Mercer scheme on differentiable mappings pertaining concept of majorization theory lead us to develop variety of new estimates. From an application standpoint, definite estimates for special functions are also presented to illustrate the relevance and as well as its efficacy of the proposed strategy.

Keywords

• Convex functions; Majorization Scheme
• Fractional Calculus
• Jensen-Mercer inequality
• H\"older
• Special functions

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