Open AccessHOLDER CONTINUOUS FUNCTIONS AND THEIR ABEL AND LOGARITHMIC MEANS
Author(s) -
Sushil Sharma,
S. K. Varma
Publication year - 1999
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.30.1999.4197
Subject(s) - mathematics , logarithm , lambda , beta (programming language) , degree (music) , hölder condition , taylor series , alpha (finance) , euler's formula , combinatorics , mathematical analysis , pure mathematics , discrete mathematics , statistics , physics , computer science , construct validity , acoustics , programming language , psychometrics , optics
Mahapatra and Chandra [8] have obtained the degree of approximation for $f \in H_\alpha(0\le \beta<\alpha\le 1)$ using infinite matrix $A = (a_{nk})$. Mahapatra and Chandra [7] used Euler, Boral and Taylor means. In the present paper we have obtained the analogous results using Abel ($A_\lambda$) and Logarithmic ($L$)-means.