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NEW EXTENSIONS OF THE YOUNG INTEGRAL INEQUALITY AND ITS COUNTERPART
Author(s) : Christophe Chesneau
Pages : [25] - [39]
Received : July 30, 2025; Revised August 16, 2025
Communicated by : Professor Suayip Yuzbasi.
Pages : [25] - [39]
Received : July 30, 2025; Revised August 16, 2025
Communicated by : Professor Suayip Yuzbasi.
Abstract
This article investigates several extensions of the Young integral inequality and its counterpart, including cases involving two or more functions. It establishes sharp lower and upper bounds for these extended forms. A central element of the proofs is the Chebyshev integral inequality, an elegant yet underutilized tool in this context.
Keywords
Young integral inequalities, Chebyshev integral inequality, Hölder integral inequality.