Trigonometric approximation by Nörlund type means in $L^p$-norm

Bogdan Szal

Displaying similar documents to “Trigonometric approximation by Nörlund type means in $L^{p}$ -norm”

Dichotomies for Lorentz spaces

Szymon Głąb, Filip Strobin, Chan Yang (2013)

Open Mathematics

Similarity:

Assume that L p,q, $L^{p_{1}, q_{1}}, . . ., L^{p_{n}, q_{n}}$ are Lorentz spaces. This article studies the question: what is the size of the set $E = {(f_{1}, . . ., f_{n}) \in L^{p_{1,} q_{1}} \times \dots \times L^{p_{n}, q_{n}} : f_{1} \dots f_{n} \in L^{p, q}}$ . We prove the following dichotomy: either $E = L^{p_{1}, q_{1}} \times \dots \times L^{p_{n}, q_{n}}$ or E is σ-porous in $L^{p_{1}, q_{1}} \times \dots \times L^{p_{n}, q_{n}}$ , provided 1/p ≠ 1/p 1 + … + 1/p n. In general case we obtain that either $E = L^{p_{1}, q_{1}} \times \dots \times L^{p_{n}, q_{n}}$ or E is meager. This is a generalization of the results for classical L p spaces.

Rate of convergence for a general sequence of Durrmeyer type operators.

Kumar, Niraj (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Similarity:

Approximation of signals (functions) belonging to the weighted $W (L_{p}, ξ (t))$ -class by linear operators.

Mittal, M.L., Rhoades, B.E., Mishra, Vishnu Narayan (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Approximation by $p$ -Faber-Laurent rational functions in the weighted Lebesgue spaces

Daniyal M. Israfilov (2004)

Czechoslovak Mathematical Journal

Similarity:

Let $L \subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$ -Faber-Laurent rational series expansions in the $ω$ weighted Lebesgue spaces $L^{p} (L, ω)$ are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a $k$ th integral modulus of continuity in $L^{p} (L, ω)$ spaces is estimated.

$L_{p}$ -inverse theorem for modified beta operators.

Gupta, Vijay, Maheshwari, Prerna, Jain, V. K. (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Irregular amalgams.

Stewart, James, Watson, Saleem (1986)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Displaying similar documents to “Trigonometric approximation by Nörlund type means in L p -norm”

Dichotomies for Lorentz spaces

Rate of convergence for a general sequence of Durrmeyer type operators.

Approximation of signals (functions) belonging to the weighted W ( L p , ξ ( t ) ) -class by linear operators.

Approximation by p -Faber-Laurent rational functions in the weighted Lebesgue spaces

L p -inverse theorem for modified beta operators.

Irregular amalgams.

Displaying similar documents to “Trigonometric approximation by Nörlund type means in $L^{p}$ -norm”

Approximation of signals (functions) belonging to the weighted $W (L_{p}, ξ (t))$ -class by linear operators.

Approximation by $p$ -Faber-Laurent rational functions in the weighted Lebesgue spaces

$L_{p}$ -inverse theorem for modified beta operators.