Results 91 to 100 of about 2,041 (214)

On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

open access: yesJournal of Inequalities and Applications, 2006
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions.
Kokilashvili V, Guven A
doaj  

Approximation by trigonometric polynomials in weighted rearrangement invariant spaces

open access: yes, 2009
We investigate the approximation properties of trigonometric polynomials and prove some direct and inverse theorems for polynomial approximation in weighted rearrangement invariant ...
Daniyal M. Israfilov   +3 more
core   +2 more sources

A kind of identities related to Riemann zeta-function

open access: yesOpen Mathematics
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
doaj   +1 more source

Approximation of functions in Besov space by deferred Cesàro mean

open access: yesJournal of Inequalities and Applications, 2016
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Mradul Veer Singh, Madan Lal Mittal
doaj   +1 more source

Inequalities for trigonometric polynomials

open access: yesJournal of Approximation Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution )   +1 more
openaire   +2 more sources

Approximation by trigonometric polynomials in variable exponent Morrey spaces

open access: yes
We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space Mp ( · ) , λ ( · ) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the modulus of smoothness and the Bernstein ...
Ghorbanalizadeh A.   +2 more
core   +1 more source

On a Fejer-Riesz factorization of generalized trigonometric polynomials [PDF]

open access: yes, 2020
Function theory on the unit disc proved key to a range of problems in statistics, probability theory, signal processing literature, and applications, and in this, a special place is occupied by trigonometric functions and the Fejer-Riesz theorem that non-
Lindquist, Anders, Georgiou, Tryphon T
core  

Property Preservation and Quality Measures in Meta-Models.

open access: yes
This thesis consists of three parts. Each part considers different sorts of meta-models. In the first part so-called Sandwich models are considered. In the second part Kriging models are considered. Finally, in the third part, (trigonometric) Polynomials
Siem, A.Y.D.
core   +1 more source

Multiple orthogonality in the space of trigonometric polynomials of semi-integer degree

open access: yes, 2015
© 2015, University of Nis. All rights reserved. In this paper we consider multiple orthogonal trigonometric polynomials of semi-integer degree, which are necessary for constructing of an optimal set of quadrature rules with an odd number of nodes for ...
Stanić, Marija, Tomović, Tatjana
core   +1 more source

Long Journey from Stevenson’s Formally Complex Hypergeometric Polynomials to Real-by-Definition Romanovski-Routh Polynomials

open access: yesAxioms
The paper links Stevenson’s formally complex hypergeometric polynomials to the real-by-definition Romanovski-Routh (R-Routh) polynomials. The spectral problem for Stevenson’s second-order normal ordinary differential equation (NODE) was formulated in ...
Gregory Natanson
doaj   +1 more source

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