|
|
On the q-parametric Stancu type Dunkl generalization of the Kantorovich-Szasz-Mirakjan operators
|
|
|
|
|
نویسنده
|
mursaleen mohammad ,khan taqseer ,nasiruzzaman md
|
منبع
|
journal of mathematical extension - 2018 - دوره : 12 - شماره : 3 - صفحه:105 -129
|
چکیده
|
In this paper we construct the stancu type q-kantrovich-szasz-mirakjan operators generated by dunkl generalization of the exponential function. we obtain some approximation results using the korovkin approximation theorem and the weighted korovkin-type theorem for these operators. we also study convergence properties by using the modulus of continuity and the rate of convergence for functions belonging to the lipschitz class. furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity.
|
کلیدواژه
|
q-integers ,Dunkl analogue ,generalization of exponential function ,Szasz operator ,modulus of continuity ,weighted modulus of continuity
|
آدرس
|
aligarh muslim university, department of mathematics, India, jamia millia islamia, department of mathematics, India, jamia hamdard, department of computer science (sest), India
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|