Some Approximation Properties of Certain q-Sz′asz-Mirakyan-Baskakov Operators
一类q-Szsz-Mirakyan-Baskakov算子的逼近性质(英文)
摘要
In this paper we propose the q analogues of modified Baskakov-Szasz operators. we estimate the moments and establish the direct results in term of modulus of continuity. An estimate for the rate of convergence and weighted approximation properties of the q operators axe also obtained.
参考文献3
-
1LIU Guo-jun,XUE Yin-chuan,SUN Wei-bin.Strong Converse Inequalities for Szasz-Mirakjan Operators with Weights[J].Chinese Quarterly Journal of Mathematics,2008,23(3):384-389. 被引量:5
-
2Qingfeng Mo,Xiaomin Hu.Approximation by the Modified q-Baskakov-Szsz Operators[J].Analysis in Theory and Applications,2014,30(3):281-289. 被引量:1
-
3YUN Lian-ying,XIANG Xue-yan,WANG Hui.On the Acceleration Problem of q-Bernstein Polynomials[J].Chinese Quarterly Journal of Mathematics,2008,23(2):252-259. 被引量:1
二级参考文献34
-
1BECKER M. Global approximation theorems for Szasz-Mirakjan and Baskakov operators in polynomial weight spaces[J]. Indiana Univ Math J, 1978, 27(1): 127-142.
-
2ZHOU Ding-xuan. Weighted approximation by Szasz-Mirakjian operators[J]. J Approx Theory, 1994, 76: 393-402.
-
3DITZIAN Z, Direct estimate for Bernstein polynomials[J]. J Approx Theory, 1994, 79: 165-166.
-
4FELTEN M. Local and global approximation theorems for positive linear operators[J]. J Approx Theory, 1998, 94: 396-419.
-
5LI Cui-xiang, ZHAO Yang. Weighted approximation on Szasz-Mirakjan operators(in Chinese)[J]. Universitatics Pekinensis(Acta Scientiarum Naturalium), 2001, 37(1): 6-11.
-
6DITZIAN Z, TOTIK V. Moduli of Smoothness[M]. New York: Springer, 1987, 1-160.
-
7DITZIAN Z, IVANOV K G. Strong converse inequalities[J]. J Anal Math, 1993, 161: 61-111.
-
8LI Song. Strong converse inequality for Bernatein type operators[J]. Acta Math Sinica, 1997, 40(1): 106-121.
-
9ZHOU Ding-xuan. On a paper of Mazhar and Totik[J]. J Approx Theory, 1993, 72: 209-300.
-
10Wickeren E V. Steckin-Marchaud-type inequalities in connection with Bernstein polynomials[J]. Constr Approx, 1986, 2(2): 331-337
共引文献4
-
1刘国军.广义Lupas-Baskakov积分算子关于一类函数的逼近[J].宁夏大学学报(自然科学版),2011,32(2):97-100. 被引量:1
-
2马月梅,刘国军.Lupas-Baskakov型算子逼近的强逆不等式[J].黑龙江大学自然科学学报,2014,31(1):51-56. 被引量:2
-
3刘国军,马月梅,张选德.一类线性正算子L_p空间逼近的强逆不等式[J].四川师范大学学报(自然科学版),2014,37(6):814-819. 被引量:1
-
4马月梅,刘国军.广义Baskakov算子逼近的强逆不等式[J].辽宁工程技术大学学报(自然科学版),2016,35(12):1521-1526.
-
1徐吉华.ON THE LOCAL NIKOLSKII CONSTANTS FOR BASKAKOV OPERATORS[J].Analysis in Theory and Applications,1992,8(4):89-96.
-
2FENG Guo.The Equivalence Theorem of Appoximation for Two-dimensional Baskakov Operators[J].Chinese Quarterly Journal of Mathematics,2009,24(1):27-34.
-
3Lin Sen XIE,Zhong Rui SHI.Pointwise Simultaneous Approximation by Combinations of Baskakov Operators[J].Acta Mathematica Sinica,English Series,2007,23(5):935-944.
-
4Vijay Gupta.A NOTE ON MODIFIED BASKAKOV TYPE OPERATORS[J].Analysis in Theory and Applications,1994,10(3):74-78. 被引量:7
-
5Chungou Zhang Quane Wang.THE COMPLETE ASYMPTOTIC EXPANSION FOR BASKAKOV OPERATORS[J].Analysis in Theory and Applications,2007,23(1):76-82. 被引量:1
-
6Feng Guo (Taizhou University, China).ON CONVERGENCE RATE OF APPROXIMATION FOR TWO-DIMENSIONAL BASKAKOV OPERATORS[J].Analysis in Theory and Applications,2003,19(3):273-279.
-
7Xie Linsen and Zhang Xiaoping (Lishui Teaher’s College, China).POINTWISE CHARACTERIZATION FOR COMBINATIONS OF BASKAKOV OPERATORS[J].Approximation Theory and Its Applications,2002,18(2):76-89. 被引量:1