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THE GENERALIZATIONS OF LOCAL FRACTIONAL HILBERT-TYPE INEQUALITIES
Author(s) : Predrag Vuković and Guang-Sheng Chen
Pages : [31] - [47]
Received : January 31, 2021; Revised March 7, 2021
Communicated by : Professor Suayip Yuzbasi
Pages : [31] - [47]
Received : January 31, 2021; Revised March 7, 2021
Communicated by : Professor Suayip Yuzbasi
Abstract
The main objective of this paper is to prove local fractional Hilbert-type inequalities with a general homogeneous kernel. Special attention is given to conditions under which the constant involved in inequalities are the best possible. Some particular cases of local fractional Hilbert-type inequalities are presented.
Keywords
local fractional integral, conjugate parameters.