Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions

By Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Y. Chu. AIMS Mathematics, 2020

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The investigation of the proposed methods is effective and convenient for solving the integrodifferential and difference equations. In this note, we introduce the generalized $\mathcal{K}$-fractional integral in terms of a new parameter $\mathcal{K}>0$ for exponentially convex functions. This paper offers some novel inequalities of Ostrowski-type using the generalized $\mathcal{K}$-fractional integral. In the application viewpoint, we proved several corollaries that investigate for proving Hermite-Hadamard inequalities for generalized $\mathcal{K}$-fractional integral operator. Some numerical examples are offered to explain the obtained results. Moreover, some applications of proposed results are presented to the demonstration of the efficiency of the proposed technique. The numerical results show that our approach is superior to some related methodologies.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/be2c5867f7bf79f860941bb6e14ad0a1d4925e66

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In Applied Mathematics

In Modeling and Simulation

Citations in the corpus

Generation of new fractional inequalities via n polynomials s-type convexity with applications (2020, methodology): “In [64], the authors derived several generalizations for the Ostrowski type inequality involving the generalized K-fractional integrals.”