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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2024, том 15, номер 1, страницы 65–74 (Mi emj493)

Concinnity of dynamic inequalities designed on calculus of time scales

M. J. S. Sahir, F. Chaudhry

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

Аннотация: We present some reverse dynamic inequalities of Radon’s and Bergström’s type on time scales in general form. The extension of Clarkson’s dynamic inequality on time scales is also given. Our further investigations explore some dynamic inequalities by using Kantorovich’s and Specht’s ratios. The calculus of time scales unifies and extends continuous results and their corresponding discrete and quantum analogues.

Ключевые слова и фразы: time scales, dynamic inequalities, Kantorovich’s ratio, Specht’s ratio.

MSC: 26D07, 26D15, 26D20, 26E70, 34N05

Поступила в редакцию: 06.04.2022
Принята в печать: 20.01.2024

Язык публикации: английский

DOI: 10.32523/2077-9879-2024-15-1-65-74



© МИАН, 2024