Open AccessA CLASS OF FUNCTIONS AND THEIR DEGREE OF APPROXIMATION BY ALMOST $(N, p, \alpha)$ METHOD
Author(s) -
Rajiv Sinha,
Hemant Kumar
Publication year - 1997
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.28.1997.4245
Subject(s) - mathematics , degree (music) , combinatorics , class (philosophy) , function (biology) , matrix (chemical analysis) , conjugate , alpha (finance) , discrete mathematics , pure mathematics , mathematical analysis , statistics , physics , construct validity , materials science , artificial intelligence , evolutionary biology , computer science , acoustics , composite material , biology , psychometrics
Qureshi [6] proved a theorem for the degree of approximation of a periodic function $\bar f$, conjugate to a $2\pi$-periodic function $f$ and belonging to the class Lip $\theta$, by almost matrix mean of its conjugate series. The above theorem was further generalized by Qureshi and Nema [8] for a function belonging to the class $W(L^p, \Psi_1(t))$ by almost matrix mean. In the present paper we have discussed degree of approximation of above class of functions by almost $(N , p, \alpha)$ method.