On absolute summability of integrals with multipliers

L.G. Bojtsun (Dnipropetrovsk National University)
A.I. Khaliuzova (Dnipropetrovsk National University)


We establish sufficient conditions for summability of integrals with multiplier by $$$|\overline{W}, p(y)|_k$$$, $$$k \geqslant 1$$$, method.


Bojtsun L.G., Khaliuzova A.I. "On equivalency of methods $$$|\overline{B}, p(y)|_k$$$ and $$$|\overline{B}, q(y)|_k$$$", Theory of approx. functions and summation of series, Dnipropetrovsk, 1983; pp. 89-93. (in Russian)

Bojtsun L.G. "On $$$|\overline{B}, p(y)|$$$-summability of integrals, related to conjugate Fourier integral", Res. on modern problems of summ. and approx. of functions and their applic., Dnipropetrovsk, 1984; pp. 42-48. (in Russian)

Bojtsun L.G., Khaliuzova A.I. "On summability multipliers for the $$$|\overline{B}, p(y)|_k$$$", Approx. of func. by polynomials and splines and summation of series, Dnipropetrovsk, 1982; pp. 76-80. (in Russian)

DOI: https://doi.org/10.15421/240708



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991