• Title/Summary/Keyword: Holder inequality

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A STUDY ON MILNE-TYPE INEQUALITIES FOR A SPECIFIC FRACTIONAL INTEGRAL OPERATOR WITH APPLICATIONS

  • Arslan Munir;Ather Qayyum;Laxmi Rathour;Gulnaz Atta;Siti Suzlin Supadi;Usman Ali
    • Korean Journal of Mathematics
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    • v.32 no.2
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    • pp.297-314
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    • 2024
  • Fractional integral operators have been studied extensively in the last few decades by various mathematicians, because it plays a vital role in the developments of new inequalities. The main goal of the current study is to establish some new Milne-type inequalities by using the special type of fractional integral operator i.e Caputo Fabrizio operator. Additionally, generalization of these developed Milne-type inequalities for s-convex function are also given. Furthermore, applications to some special means, quadrature formula, and q-digamma functions are presented.