Approximation of functions from L^p(\widetildeω)_βby linear operators of conjugate Fourier series

On Pointwise Approximation of Conjugate Functions by Some Hump Matrix Means of Conjugate Fourier Series

“…Finally, we also give some results on norm approximation with essentially better degrees of approximation. The obtained results generalize the results from [4,9].…”

“…for all positive integer . Analogously as in [4], sequence := ( ) of nonnegative numbers will be called the Mean Head Bounded Variation Sequence, or briefly ∈ MHBVS, if it has the property…”

On Pointwise Approximation of Functions by Some Matrix Means of Conjugate Fourier Series

“…Finally, we also give some results on norm approximation with essentially better degrees of approximation. The obtained results generalize the results from [1] and [6]. We shall write I 1 I 2 if there exists a positive constant K, sometimes depending on some parameters, such that I 1 ≤ KI 2 .…”

“…Analogously as in [6], a sequence c := (c r ) of nonnegative numbers will be called the Mean Head Bounded Variation Sequence, or briefly c ∈ M HBV S, if it has the property…”