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Applications of Cesaro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α, p) in Lp-Norm


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1 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
 

We prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α, p) in Lp-norm using Cesaro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some of the known results.
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  • Applications of Cesaro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α, p) in Lp-Norm

Abstract Views: 56  |  PDF Views: 0

Authors

M. L. Mittal
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Mradul Veer Singh
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India

Abstract


We prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α, p) in Lp-norm using Cesaro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some of the known results.