Approximation of integrable functions by general linear matrix operators of their Fourier series
Approximation of integrable functions by general linear matrix operators of their Fourier series
Abstract The pointwise estimates of the deviation <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mi>T</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> <m:mo>,</m:mo> <m:mi>A</m:mi> </m:mrow> </m:msub> <m:mi>f</m:mi> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mo>⋅</m:mo> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mo>−</m:mo> <m:mi>f</m:mi> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mo>⋅</m:mo> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> {T}_{n,A}f(\cdot )-f\left(\cdot ) in terms of pointwise moduli of continuity based …