Degree of approximation of functions belonging to Lipα class and weighted (L<SUP>r</SUP>,ξ(t)) class by product summability method
Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0
Abstract
A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α,r), Lip(ξ(t),r) and W(L<SUP>r</SUP>, ξ(t)) classes using Cesàro and (generalized) Nörlund single summability methods by a number of researchers like Alexits, Sahney, Goel, Qureshi, Neha, Chandra, Khan, Leindler and Rhoades. But till now no work seems to have been done so far in the direction of present work. Therefore, in present paper, two quite new results on degree of approximation of functions f∈ Lipα and f∈ W(L<SUP>r</SUP>,ξ(t)) class by (E,1)(C,1) product summability means of Fourier series have been obtained.
Authors and Affiliations
Hare Nigam
Keywords
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