Results 11 to 20 of about 76 (75)
Summability of a Tchebysheff system of functions
Journal of Function Spaces, Volume 8, Issue 1, Page 87-102, 2010., 2010 We consider a special type of Tchebysheff systems of functions {ui(⋅)}in=0 and {Vi(⋅)}in=0 defined on the intervals (0, 1] and [1,+∞), respectively, such that ui(t)=tα0∫t1t1α1∫t11t2α2…∫ti−11tiαidtidti−1…dt1 and ui(t)=tβ0∫1tt1β1∫1t1t2β2…∫1ti−1tiβidtidti−1…dt1.
Z. T. Abdikalikova +2 more
wiley +1 more source
On simultaneous approximation for some modified Bernstein‐type operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 71, Page 3951-3958, 2004., 2004 We study the simultaneous approximation for a certain variant of Bernstein‐type operators.
Vijay Gupta, Nurhayat Ispir
wiley +1 more source
A note on integral modification of the Meyer‐König and Zeller operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 2003-2009, 2003., 2003 Guo (1988) introduced the integral modification of Meyer‐Kö nig and Zeller operators Mˆn and studied the rate of convergence for functions of bounded variation. Gupta (1995) gave the sharp estimate for the operators Mˆn. Zeng (1998) gave the exact bound and claimed to improve the results of Guo and Gupta, but there is a major mistake in the paper of ...
Vijay Gupta, Niraj Kumar
wiley +1 more source
Lp‐inverse theorem for modified beta operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 20, Page 1295-1303, 2003., 2003 We obtain a converse theorem for the linear combinations of modified beta operators whose weight function is the Baskakov operators. To prove our inverse theorem, we use the technique of linear approximating method, namely, Steklov mean.
Vijay Gupta +2 more
wiley +1 more source
Summability Methods in Weighted Approximation to Derivatives of Functions [PDF]
, 2015 In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence in the approximation.
Duman, Oktay, Küçük, Nisa
core +1 more source
Solution of time‐varying singular nonlinear systems by single‐term Walsh series
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 129-136, 2003., 2003 A method for finding the solution of time‐varying singular nonlinear systems by using single‐term Walsh series is proposed. The properties of single‐term Walsh series are given and are utilized to find the solution of time‐varying singular nonlinear systems.
B. Sepehrian, M. Razzaghi
wiley +1 more source
Extension of the best approximation operator in Orlicz spaces and weak‐type inequalities
Abstract and Applied Analysis, Volume 6, Issue 2, Page 101-114, 2001., 2001 We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak‐type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.
Sergio Favier, Felipe Zò
wiley +1 more source
Approximation by weighted means of Walsh‐Fourier series
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 1-8, 1996., 1995 We study the rate of approximation to functions in Lp and, in particular, in Lip(α, p) by weighted means of their Walsh‐Fourier series, where α > 0 and 1 ≤ p ≤ ∞. For the case p = ∞, Lp is interpreted to be CW, the collection of uniformly W continuous functions over the unit interval [0, 1). We also note that the weighted mean kernel is quasi‐positive,
F. Móricz, B. E. Rhoades
wiley +1 more source
A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators
Advanced Nonlinear Studies, 2018 In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj +1 more source
On the lower semi‐continuity of the set valued metric projection
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 455-463, 1992., 1991 The lower semi‐continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub‐function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above results.
Fowzi Ahmad Sejeeni
wiley +1 more source