The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

On Trigonometric Approximation of Continuous Functions by Deferred Matrix Means


Xhevat Zahir Krasniqi

Faculty of Education,
University of Prishtina "Hasan Prishtina",
Avenue "Mother Theresa " no. 5, Prishtin
Republic of Kosovo.


In this paper, for the first time, we introduce the deferred matrix means which contain the well-known generalized deferred Nrlund, deferred Nrlund, deferred Riesz, deferred Cesro means introduced earlier by others, and a new class of sequences (predominantly a wider class than the class of Head Bounded Variation Sequences). In addition, using the deferred matrix means of Fourier series of a continuous function, we determine the degree of approximation of such function via its modulus of continuity and a positive mediate function.

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