Equivalent Statements of Hilbert-Type Integral Inequalities

Bicheng Yang,Michael Th Rassias

doi:10.1007/978-3-030-29268-3_2

Equivalent Statements of Hilbert-Type Integral Inequalities

Bicheng Yang, Michael Th Rassias

https://doi.org/10.1007/978-3-030-29268-3_2

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Publication Date: Jan 1, 2019

Affiliation: Guangdong University Of Finances and Economics, Guangdong University of Education, Moscow Institute of Physics and Technology, University of Zurich

#General Homogeneous Kernel #Hilbert-type Inequalities + Show 8 more

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Abstract

In this chapter, by the use of methods of real analysis and weight functions, we consider a few equivalent statements of Hilbert-type integral inequalities with a general nonhomogeneous kernel related to certain parameters. In the form of applications, a few equivalent statements of Hilbert-type integral inequalities with a general homogeneous kernel are deduced. Moreover, we also consider operator expressions, a few particular cases, and some examples related to the extended Hurwitz zeta function as applications.

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