Innovations of some dynamic estimates combined on time scales

Authors

  • D. Afzal The University of Lahore, Lahore, Pakistan
  • J.S. Sahir The University of Lahore, Lahore, Pakistan

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.1.2

Keywords:

time scales, fractional Riemann–Liouville type integrals, Schweitzer’s, Kantorovich’s, Polya–Szego’s, Cassels’, Greub–Rheinboldt’s, and reverse Minkowski’s inequalities

Abstract

We establish fractional versions of generalizations of the Schweitzer, Kantorovich, Polya–Szego, Cassels, Greub–Rheinboldt, and reverse Minkowski inequalities on time scales. We present that fractional P´olya–Szego’s dynamic inequality generalizes Cassels’ inequality. Time scales calculus unifies and extends discrete, continuous, quantum versions of results.

Author Biographies

D. Afzal, The University of Lahore, Lahore, Pakistan

Department of Mathematics and Statistics

J.S. Sahir, The University of Lahore, Lahore, Pakistan

Department of Mathematics and Statistics

Downloads

Published

2023-07-03

Issue

Vol. 3(65) No. 1 (2023)

Section

MATHEMATICS