Abstract
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesaro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Highlights
During the last few decades, various investigators such as Alexits [ ], Chandra [, ], Das et al [, ], Leindler [, ], Mittal et al [ – ], Mohapatra and Chandra [ ], Prössdorf [ ], Quade [ ], etc. have studied the approximation properties of functions in Lipschitz and Hölder spaces using different summability methods
Besov spaces are a much more general tool in describing the smoothness properties of functions and contain a large number of fundamental spaces such as Sobolev spaces, Hölder spaces, Lipschitz spaces, etc. [ ]. This has motivated us to work on the degree of approximation of functions in Besov spaces
5 Conclusions It is known that Besov spaces serve as generalizations of more elementary function spaces and are effective at measuring the smoothness properties of functions
Summary
During the last few decades, various investigators such as Alexits [ ], Chandra [ , ], Das et al [ , ], Leindler [ , ], Mittal et al [ – ], Mohapatra and Chandra [ ], Prössdorf [ ], Quade [ ], etc. have studied the approximation properties of functions in Lipschitz and Hölder spaces using different summability methods. Have studied the approximation properties of functions in Lipschitz and Hölder spaces using different summability methods. This has motivated us to work on the degree of approximation of functions in Besov spaces.
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