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Eurasian Math. J., 2024 Volume 15, Number 1, Pages 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

Abstract: 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.

Keywords and phrases: time scales, dynamic inequalities, Kantorovich’s ratio, Specht’s ratio.

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

Received: 06.04.2022
Accepted: 20.01.2024

Language: English

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



© Steklov Math. Inst. of RAS, 2024