Reverse Hardy inequalities via μ-proportional generalized fractional integral operators [Articol]

Abstract

Abstract. In this paper, we present a further improvement of the reverse Hardy type inequality via a+IΦμ and b−IΦμ , the proportional generalized fractional integral operators with respect to another strictly increasing continuous function μ. We obtain a new result by using two parameters of integrability p and q, some special cases are mentioned according to the choice of the function Φ.

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BENAISSA, Bouharket; Juan E. NÀPOLES and Bahtiyar BAYRAKTAR. Reverse Hardy inequalities via μ-proportional generalized fractional integral operators. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica. 2025, nr. 1(107), pp. 23-32. ISSN 1024-7696; E-ISSN 2587-4322. Disponibil: https://doi.org/10.56415/basm.y2025.i1.p23

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