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20092023
most citedOn trigonometric approximation of functions in the Lp norm

5 citations · 8 across the 15 of their papers we have counts for

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Showing 2012 · math.CAShow all

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math.CA2012

Pointwise strong approximation of almost periodic functions in S^1

Wlodzimierz Lenski, Bogdan Szal

We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of S^1 almost periodic functions from matrix means of partial sums of their Fourier series.

math.CA2012

On the degree of strong approximation of almost periodic functions in the Stepanov sense

Wlodzimierz Lenski, Bogdan Szal

Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and…

math.CA2012★ 5 cited

On trigonometric approximation of functions in the Lp norm

R. N. Mohapatra, B. Szal

In this paper we obtain degree of approximation of functions in Lp by operators associated with their Fourier series using integral modulus of continuity. These results generalize…

math.CA2012

Pointwise strong approximation of almost periodic functions

Radosława Kranz, Włodzimierz Łenski, Bogdan Szal

We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

math.CA2012

On some Leindler's theorem on application of the class NMCS

Włodzimierz Łenski, Bogdan Szal

We show the results in the class GM(5b) corresponding to the theorem of L. Leindler [A note on strong approximation of Fourier series, Analysis Mathematica, 29(2003), 195--199] on…

math.CA2012

Strong approximation of almost periodic functions

Włodzimierz Łenski, Bogdan Szal

We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of…