The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces

Trigonometric approximation (42A10) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (16)

Direct and inverse theorems of approximation of functions in weighted Orlicz type spaces with variable exponent ⋮ Approximation by Nörlund and Riesz means in weighted Lebesgue space with variable exponent ⋮ Some approximation problems for $(\alpha,\psi)$-differentiable functions in weighted variable exponent Lebesgue spaces ⋮ Approximation by polynomials in rearrangement invariant quasi Banach function spaces ⋮ Jackson and Stechkin type inequalities of trigonometric approximation inAp;q()w;# ⋮ Multiplier and approximation theorems in Smirnov classes with variable exponent ⋮ Unnamed Item ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ Approximation by trigonometric polynomials of functions having $(\alpha , \psi )$-derivatives in weighted variable exponent Lebesgue spaces ⋮ Maximal convergence of Faber series in Smirnov classes with variable exponent ⋮ Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials ⋮ Approximation by trigonometric polynomials in variable exponent Morrey spaces ⋮ Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ Unnamed Item ⋮ Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent

This page was built for publication: The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces