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Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
- Source :
- Applicable Analysis and Discrete Mathematics. 12:273-296
- Publication Year :
- 2018
- Publisher :
- National Library of Serbia, 2018.
-
Abstract
- Applying techniques of real analysis and weight functions, we study some equivalent conditions of two kinds of the reverse Hardy-type integral inequalities with a particular nonhomogeneous kernel. The constant factors are related to the Riemann zeta function and are proved to be best possible. In the form of applications, we deduce a few equivalent conditions of two kinds of the reverse Hardy-type integral inequalities with a particular homogeneous kernel. We also consider some corollaries as particular cases.
- Subjects :
- Pure mathematics
Real analysis
Applied Mathematics
010102 general mathematics
02 engineering and technology
Type (model theory)
Homogeneous kernel
01 natural sciences
Riemann zeta function
symbols.namesake
Kernel (statistics)
0202 electrical engineering, electronic engineering, information engineering
symbols
Discrete Mathematics and Combinatorics
020201 artificial intelligence & image processing
0101 mathematics
Constant (mathematics)
Analysis
Mathematics
Subjects
Details
- ISSN :
- 2406100X and 14528630
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- Applicable Analysis and Discrete Mathematics
- Accession number :
- edsair.doi...........2ae371884dcbdbdecd402af3f18831f3