Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

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Authors

Kashuri, A.
Ali, M.A.
Abbas, Mujahid
Toseef, M.

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Publisher

Sciendo

Abstract

In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.

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Keywords

Inequalities, Convexity, Raina’s function, Special means, Error estimation

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Citation

Kashuri, A., Ali, M.A., Abbas, M. and Toseef, M.. "Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications" Journal of Applied Mathematics, Statistics and Informatics, vol.17, no.1, 2021, pp.37-64. https://doi.org/10.2478/jamsi-2021-0003.