On p-Λ-bounded variation
Journal article, 2011

A characteriation of continuity of the p-Lambda-variation function is given and the Helly's selection principle for Lambda BV(p) functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class Lambda BV(p) is found.

absolute convergence

anturiya za

1975

bv

fourier-series

mathematical notes

p695

Generalized bounded variation

Helly's theorem

v18

modulus of variation

Author

Mahdi Hormozi

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

A. A. Ledari

University of Sistan and Baluchestan

F. Prus-Wisniowski

Uniwersytet Szczecinski

Bulletin of the Iranian Mathematical Society

10186301 (ISSN) 1017060X (eISSN)

Vol. 37 4 35-49

Subject Categories

Mathematics

More information

Created

10/7/2017