On the degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series

  • Xhevat Krasniqi University of Prishtina "Hasan Prishtina"
Keywords: matrix transformation, degree of approximation, Fourier series, modulus of continuiity


Using the Mean Rest Bounded Variation Sequences or the Mean Head Bounded Variation Sequences, we have proved four theorems pertaining to the degree of approximation in sup-norm of a continuous function f by general means τλn;A(f) of partial sums of its Fourier series. The degree of approximation is expressed via an auxiliary function H(t) ≥ 0 and via entries of a matrix whose indices form a strictly increasing sequence of positive integers λ := {λ(n)}n=1.


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Author Biography

Xhevat Krasniqi, University of Prishtina "Hasan Prishtina"

Faculty of Education