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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive
Chelyab. Fiz.-Mat. Zh., 2025 Volume 10, Issue 1, Pages 87–95 (Mi chfmj424)
Mathematics

Generalization of some inequalities related to the Laplace transform

N. Azzouzab, B. Benaissaa, A. Senucia

a University of Tiaret, Tiaret, Algeria
b University Center Nour Bachir El Bayadh, El Bayadh, Algeria

Abstract: We establish some generalizations of integral inequalities for Hardy-type operator and its conjugate via Laplace transform. Moreover, some new estimates with Laplace transform are deduced.

Keywords: Hardy operator, Minkowski inequality, Laplace transform.

UDC: 517.442

Received: 15.02.2023
Revised: 07.12.2024

Language: English

DOI: 10.47475/2500-0101-2025-10-1-87-95


© Steklov Math. Inst. of RAS, 2025