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 35-49Subject Categories (SSIF 2011)
Mathematics