Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type

Convolution as an integral transform (44A35) Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)

Related Items (18)

Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions ⋮ On constants in estimates of approximations by entire functions of exponential type in terms of moduli of continuity of derivatives ⋮ On the constants in inverse theorems for the first-order derivative ⋮ On the constants in the inverse theorems for the norms of derivatives ⋮ Approximation estimates for convolution classes in terms of the second modulus of continuity ⋮ Order of approximation by partial Hausdorff integrals ⋮ Improvement of Jackson type inequalities for moduli of continuity of order 4, 6, 8 ⋮ Jackson type inequalities for deviations of the Riesz averages and applications to estimates of functionals with two known moments ⋮ Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments ⋮ Extremal signatures ⋮ Estimates of functionals by generalized moduli of continuity generated by the Dunkl operators ⋮ Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators ⋮ Estimates of moments of deviations of the Riesz averages and applications to Jackson type inequalities ⋮ Strengthening of Kolmogorov type inequalities for derivatives and differences ⋮ On spectral approximations of unbounded operators ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ Analog of the Riesz identity and sharp inequalities for derivatives and differences of splines in the uniform metric ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts

Cites Work

This page was built for publication: Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type