INTEGRAL TYPE MODIFICATION FOR q−LAGUERRE POLYNOMIALS (COMMUNICATED BY PROFESSOR F. MARCELLAN)
نویسندگان
چکیده
Özarslan gave the approximation properties of linear positive operators including the q-Laguerre polynomials in [13]. In this paper, we will give Kantorovich type generalization for this operator with the help of Riemann type q-integral. We also get approximation properties for the generalized operator with modulus.
منابع مشابه
CONVERGENCE OF PRODUCT INTEGRATION RULES OVER (0, oo) FOR FUNCTIONS WITH WEAK SINGULARITIES AT THE ORIGIN
In this paper we consider integrals of the form / e-xK(x,y)f(x)dx, Jo with / 6 C[0, oo) n C«(0, oo), q > p > 0, and x¡f^'\x) 6 C[0, oo), / = I, ... , q -p , when q > p . They appear for instance in certain WienerHopf integral equations and are of interest if one wants to solve these by a Nyström method. To discretize the integral above, we propose to use a product rule of interpolatory type bas...
متن کاملIntegral Operators Containing Sheffer Polynomials (communicated by Vijay Gupta)
The aim of the present paper is to introduce new type integral operators which involve Sheffer polynomials. We investigate approximation properties of the our operators with the help of the universal Korovkin-type property and also establish the rate of convergence by using modulus of continuity, second order modulus of smoothness and Petree’s Kfunctional. Moreover, some examples which include ...
متن کاملApplication of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
In this study, an efficient method is presented for solving infinite boundary integro-differential equations (IBI-DE) of the second kind with degenerate kernel in terms of Laguerre polynomials. Properties of these polynomials and operational matrix of integration are first presented. These properties are then used to transform the integral equation to a matrix equation which corresponds t...
متن کاملNumerical solution of Fredholm integral-differential equations on unbounded domain
In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultili...
متن کاملar X iv : q - a lg / 9 61 20 03 v 1 1 D ec 1 99 6 Non – Symmetric Jack Polynomials and Integral Kernels
We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland models with exchange terms. For the non-symmetric Jack polynomials, the constant term normalization N η is evaluated using recurrence relations, and N η is related to the norm for the non-symmetric analogue of the power-s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012