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The Minkowski’s inequalities via \(\psi\)-Riemann–Liouville fractional integral operators

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Abstract

The main objective of this paper is to establish some new fractional integral inequalities of Minkowski’s type by using \(\psi\)-Riemann–Liouville fractional integral operator, which is the classical Riemann–Liouville fractional integral of any function with respect to another function. Further, we establish some new fractional inequalities related to the reverse Minkowski’s type inequality via \(\psi\)-Riemann–Liouville fractional integral operator. Using this fractional integral operator, some more integral inequalities of reverse Minkowski’s type are also obtained.

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Authors and Affiliations

  1. Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, M.S, 431001, India

    Tariq A. Aljaaidi & Deepak B. Pachpatte

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  1. Tariq A. Aljaaidi
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  2. Deepak B. Pachpatte
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Correspondence to Tariq A. Aljaaidi.

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Aljaaidi, T.A., Pachpatte, D.B. The Minkowski’s inequalities via \(\psi\)-Riemann–Liouville fractional integral operators. Rend. Circ. Mat. Palermo, II. Ser 70, 893–906 (2021). https://doi.org/10.1007/s12215-020-00539-w

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  • DOI: https://doi.org/10.1007/s12215-020-00539-w

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