Reduction Theorems for the Discrete Hardy Operator on Cones of Monotone Sequences


Gogatishvili A. Bokayev N. Karshygina G. Kuzeubayeva N. Ünver T.
2025Springer

Journal of Mathematical Sciences (United States)
2025

We examine weighted inequalities for the discrete Hardy operator on the cone of monotone sequences. Such inequalities can be reduced to the corresponding inequalities on the cone of nonnegative sequences.



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Institute of Mathematics of the Czech Academy of Sciences, 25, Źitná, Praha 1, 11567, Czech Republic
Gumilyov Eurasian National University, 2, Satbaev St., Astana, 010000, Kazakhstan
Astana International University, 8, Kabanbay Batyr Av., Astana, 020000, Kazakhstan
Kirikkale University, Ankara Yolu 7.Km., Kirikkale, 71450, Turkey

Institute of Mathematics of the Czech Academy of Sciences
Gumilyov Eurasian National University
Astana International University
Kirikkale University

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