Abstract
In this paper, the extensions of classes S, C and BV are made by defining the classes Sr, Cr and BVr,r = 0,1,2,... . It is also shown that class Sr is a subclass of Cr ∩ BVr. Moreover, the results on L1-convergence of r times differentiated trigonometric sine series have been obtained by considering the rth (r = 0,1,2,...) derivative of modified sine sum under the new extended class Cr ∩ BVr.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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