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A Hardy–Hilbert-Type Inequality Involving Parameters Composed of a Pair of Weight Coefficients with Their Sums
- Source :
- Mathematics, Volume 9, Issue 22, Mathematics, Vol 9, Iss 2950, p 2950 (2021)
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in earlier papers. Based on the obtained inequality, the equivalent conditions of the best possible constant factor related to several parameters are discussed, and the equivalent forms and the operator expressions are also considered. As applications, we illustrate how the inequality obtained can generate some new Hardy–Hilbert-type inequalities.
- Subjects :
- Pure mathematics
Inequality
Hardy–Hilbert-type inequality
Generalization
General Mathematics
media_common.quotation_subject
Euler–Maclaurin summation formula
Type inequality
operator expressions
equivalent conditions
Constant factor
Operator (computer programming)
weight coefficients
QA1-939
Computer Science (miscellaneous)
Engineering (miscellaneous)
Mathematics
media_common
Subjects
Details
- ISSN :
- 22277390
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....5743003811e1acd9bd76c49ba84f4d08