HALF-DISCRETE HILBERT'S INEQUALITY FOR THREE VARIABLES WITH HYPERBOLIC SINE FUNCTION

Authors

  • Mutaz Ahmad Manasreh Department Of Mathematics, Faculty of Science, Al -Balqa Applied University
  • Nizar Kh. Al-Oushoush Department Of Mathematics, Faculty of Science, Al -Balqa Applied University

Abstract

For three variables of the half-discrete Hilbert's inequality and using the hyperbolic sine function, we present two new forms of the half-discrete Hilbert's inequality in thisstudy. We also demonstrate that the constants on the right-hand side of the inequality arethe best. The equivalence forms of the two inequalities are also introduced.

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Published

2025-02-25

Issue

Volume 30, Number 1, March 2025

Section

Articles