Extensions of Móricz Classes and Convergence of Trigonometric Sine Series in L1-Norm
Copyright policy )Extensions of Móricz Classes and Convergence of Trigonometric Sine Series in L1-Norm
In this paper, the extensions of classes S ˜ , C ˜ and B ˜ V are made by defining the classes S ˜ r , C ˜ r and B ˜ V r , r = 0 , 1 , 2 , … It is also shown that class S ˜ r is a subclass of C ˜ r ∩ B ˜ V r . Moreover, the results on L 1 -convergence of r times differentiated trigonometric sine series have been obtained by considering the r t h ( r = 0 , 1 , 2 , … ) derivative of modified sine sum under the new extended class C ˜ r ∩ B ˜ V r .
- Thapar University India
modified sine sum, Convergence and absolute convergence of Fourier and trigonometric series, QA1-939, \(L^1\)-convergence, <i>L</i><sup>1</sup>-convergence, Dirichlet kernel, L1-convergence, Mathematics
modified sine sum, Convergence and absolute convergence of Fourier and trigonometric series, QA1-939, \(L^1\)-convergence, <i>L</i><sup>1</sup>-convergence, Dirichlet kernel, L1-convergence, Mathematics
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