Functions of bounded second \(p\)-variation

DOI10.1007/S13163-013-0136-0zbMath1396.26015OpenAlexW2071285427MaRDI QIDQ395142

Sorina Barza, Pilar Silvestre

Publication date: 28 January 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0136-0

zbMATH Keywords

partitionperiodic functionSteklov averagebounded second \((p,\alpha)\) variationbounded second \(p\)-variationfractional moduli of continuitymodulus of \(p\)-continuity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45)

Related Items (1)

Functions of bounded \(k\)th \(p\)-variation and continuity modulus

Cites Work

• On functions of bounded (p,2)-variation
• Best approximation polynomials and a relation between continuity modules in spaces of functions of bounded \(p\)-variation
• Asymptotics properties of a compact set of smooth functions in the space of functions of bounded \(p\)-variation
• On fractional smoothness of functions related to p-variation
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