Some new dynamic Hardy-type inequalities with kernels involving monotone functions
The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight fun...
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Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2020-07, Vol.114 (3), Article 142 |
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container_title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas |
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creator | Saker, Samir H. Saied, Ahmed I. Krnić, Mario |
description | The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight functions. As an application, we obtain the corresponding discrete Hardy-type inequalities for monotone sequences, which are essentially new. |
doi_str_mv | 10.1007/s13398-020-00876-6 |
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subjects | Applications of Mathematics Inequalities Kernels Mathematical and Computational Physics Mathematics Mathematics and Statistics Monotone functions Original Paper Theoretical Weighting functions |
title | Some new dynamic Hardy-type inequalities with kernels involving monotone functions |
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