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Functions of Bounded kth p-Variation and Continuity Modulus
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
This scale is generated by the generalized functionals of Merentes type.
We prove some limiting relations for these functionals as well as sharp estimates in terms of the fractional modulus of smoothness of order k-1/p.
American Psychological Association (APA)
Mejía, O.& Silvestre, Pilar. 2015. Functions of Bounded kth p-Variation and Continuity Modulus. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068236
Modern Language Association (MLA)
Mejía, O.& Silvestre, Pilar. Functions of Bounded kth p-Variation and Continuity Modulus. Journal of Function Spaces No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1068236
American Medical Association (AMA)
Mejía, O.& Silvestre, Pilar. Functions of Bounded kth p-Variation and Continuity Modulus. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068236
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068236