共查询到20条相似文献,搜索用时 468 毫秒
1.
N. I. Mahmudov 《Mathematical Methods in the Applied Sciences》2011,34(13):1618-1626
In this paper we give the estimates of the central moments for the limit q‐Bernstein operators. We introduce the higher order generalization of the limit q‐Bernstein operators and using the moment estimations study the approximation properties of these newly defined operators. It is shown that the higher order limit q‐Bernstein operators faster than the q‐Bernstein operators for the smooth functions defined on [0, 1]. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
2.
Nazim Mahmudov 《Numerical Algorithms》2010,53(4):439-450
In this note we give the estimates of the central moments for q-Bernstein operators (0 < q < 1) which can be used for studying the approximation properties of the operators. 相似文献
3.
In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using
a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1. 相似文献
4.
Nazim I. Mahmudov 《Central European Journal of Mathematics》2010,8(4):816-826
In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct
estimations for error in the case 0 < q < 1. 相似文献
5.
M. Mursaleen Faisal Khan Asif Khan 《Numerical Functional Analysis & Optimization》2013,34(9):1178-1197
The purpose of this article is to give a generalization of q-Bernstein-Kantorovich operators. We present some approximation theorems. We compute the rate of convergence and error estimation of these operators by means of the modulus of continuity. Furthermore, we give some numerical examples to show comparisons in illustrative graphics for the convergence of these operators to various functions. 相似文献
6.
On the setting of the upper half space we study positive Toeplitz operators between the harmonic Bergman spaces. We give characterizations of bounded and compact positive Toeplitz operators taking a harmonic Bergman space b
p
into another b
q
for 1<p<, 1<q<. The case p=1 or q=1 seems more intriguing and is left open for further investigation. Also, we give criteria for positive Toeplitz operators acting on b
2 to be in the Schatten classes. Some applications are also included. 相似文献
7.
Tuncer Acar 《Mathematical Methods in the Applied Sciences》2016,39(10):2685-2695
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)‐integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q‐Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
8.
The paper deals with positive linear operators based on q-integer. The rate of convergence of these operators is established. For these operators, we present Voronovskaya-type theorems
and apply them to q-Bernstein polynomials and q-Stancu operators. 相似文献
9.
Nazim I. Mahmudov 《Mediterranean Journal of Mathematics》2010,7(3):297-311
In the present paper, we introduce q-parametric Szász-Mirakjan operators. We study convergence properties of these operators S
n,q
(f). We obtain inequalities for the weighted approximation error of q-Szász-Mirakjan operators. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted
moduli of continuity. We also discuss Voronovskaja-type formula for q-Szász-Mirakjan operators. 相似文献
10.
Very recently the q-Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve x 2 (2003), in this paper we modify q-Bernstein-Schurer operators to King type modification of q-Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions x 2 and study the approximation properties of these operators. We establish a convergence theorem of Korovkin type. We also get some estimations for the rate of convergence of these operators by using modulus of continuity. Furthermore, we give a Voronovskaja-type asymptotic formula for these operators. 相似文献
11.
《Arkiv f?r Matematik》1992,30(1):217-220
We determine the smallest Schatten class containing all integral operators with kernels inL
p(Lp', q)symm, where 2 <p∞ and 1≦q≦∞. In particular, we give a negative answer to a problem posed by Arazy, Fisher, Janson and Peetre in [1].
Supported in part by DGICYT (SAB-90-0033). 相似文献
12.
Octavian Agratini 《Central European Journal of Mathematics》2010,8(1):191-198
This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for
the rate of convergence. A probabilistic approach is presented and approximation properties are established. 相似文献
13.
Wenming Li 《Mathematische Nachrichten》2008,281(6):839-846
We give a condition which is sufficient for the two‐weight (p, q) inequalities for multilinear potential type integral operators, where 1 < p ≤ q < ∞. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
14.
ABSTRACT We introduce Littlewood–Paley decomposition related to q-Rubin's operator, this allows us to provide a dyadic characterization of Sobolev, Hölder and Lebesgue spaces associated with the q-Rubin's operators and to establish some embedding results for these spaces. We construct the paraproduct operators associated with the q-Rubin's operators and we establish its action on the Sobolev and Hölder spaces. 相似文献
15.
Weighted Boundedness for a Class of Rough Multilinear Operators 总被引:8,自引:0,他引:8
In this paper we give the (L
p
(ω
p
), L
q
(ω
q
)) boundedness for a class of multilinear operators, which is simular to the higher-order commutator for the rough fractional
integral. In our results the kernel function is merely assumed on a size condition.
Received August 21, 2000, Accepted October 24, 2000 相似文献
16.
We give several applications of Rademacher sequences in abstract Banach lattices. We characterise those Banach lattices with an atomic dual in terms of weak* sequential convergence. We give an alternative treatment of results of Rosenthal, generalising a classical result of Pitt, on the compactness of operators from Lp into Lq. Finally we generalise earlier work of ours by showing that, amongst Banach lattices F with an order continuous norm, those having the property that the linear span of the positive compact operators fromE into F is complete under the regular norm for all Banach lattices E are precisely the atomic lattices. 相似文献
17.
Ruchi Ruchi Nurhayat Ispir P. N. Agrawal 《Mathematical Methods in the Applied Sciences》2017,40(16):5687-5706
Ren and Zeng (2013) introduced a new kind of q‐Bernstein–Schurer operators and studied some approximation properties. Acu et al. (2016) defined the Durrmeyer modification of these operators and studied the rate of convergence and statistical approximation. The purpose of this paper is to introduce a Kantorovich modification of these operators by using q‐Riemann integral and investigate the rate of convergence by means of the Lipschitz class and the Peetre's K‐functional. Next, we introduce the bivariate case of q‐Bernstein–Schurer–Kantorovich operators and study the degree of approximation with the aid of the partial modulus continuity, Lipschitz space, and the Peetre's K‐functional. Finally, we define the generalized Boolean sum operators of the q‐Bernstein–Schurer–Kantorovich type and investigate the approximation of the Bögel continuous and Bögel differentiable functions by using the mixed modulus of smoothness. Furthermore, we illustrate the convergence of the operators considered in the paper for the univariate case and the associated generalized Boolean sum operators to certain functions by means of graphics using Maple algorithms. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
18.
Eun Sun Choi 《Czechoslovak Mathematical Journal》2008,58(1):93-111
We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations
of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space b
p
into another b
q
for 1 < p, q < ∞ in terms of certain Carleson and vanishing Carleson measures.
This research was supported by KOSEF (R01-2003-000-10243-0) and Korea University Grant. 相似文献
19.
Naihuan Jing 《Journal of Algebraic Combinatorics》1994,3(3):291-305
We derive a duality formula for two-row Macdonald functions by studying their relation with basic hypergeometric functions. We introduce two parameter vertex operators to construct a family of symmetric functions generalizing Hall-Littlewood functions. Their relation with Macdonald functions is governed by a very well-poised q-hypergeometric functions of type 43, for which we obtain linear transformation formulas in terms of the Jacobi theta function and the q-Gamma function. The transformation formulas are then used to give the duality formula and a new formula for two-row Macdonald functions in terms of the vertex operators. The Jack polynomials are also treated accordingly. 相似文献
20.
In the present paper we propose a generalization of the Baskakov operators, based on q integers. We also estimate the rate of convergence in the weighted norm. In the last section, we study some shape preserving
properties and the property of monotonicity of q-Baskakov operators. 相似文献