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Some New Hardy-type Integral Inequalities on Cones of Monotone Functions
Department of Fundamental and Applied Mathematics, Eurasian National University, Munaitpasov str. 4, Astana.
Department of Fundamental and Applied Mathematics, Eurasian National University, Munaitpasov str. 4, Astana.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2013 (English)In: Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume, Basel: Encyclopedia of Global Archaeology/Springer Verlag, 2013, p. 77-89Chapter in book (Refereed)
Abstract [en]

Some new Hardy-type inequalities with Hardy-Volterra integral operators on the cones of monotone functions are obtained. The case 1 < p ≤ q < ∞ is considered and the involved kernels satisfy conditions which are less restrictive than the classical Oinarov condition.

Place, publisher, year, edition, pages
Basel: Encyclopedia of Global Archaeology/Springer Verlag, 2013. p. 77-89
Series
Operator Theory: Advances and Applications ; 229
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-20209Local ID: 2dee4289-6f82-48a1-afc8-104ca8ce7c14ISBN: 978-3-0348-0515-5 (print)ISBN: 978-3-0348-0516-2 (electronic)OAI: oai:DiVA.org:ltu-20209DiVA, id: diva2:993253
Note
Godkänd; 2013; 20140228 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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