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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 465 - 480 (16page)
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In the present article, we analyse the behaviour of a new family of Kantorovich type sampling operators (Kφ wf)w>0: First, we give a Voronovskaya type theorem for these Kantorovich generalized sampling series and a corresponding quantitative version in terms of the rst order of modulus of continuity. Further, we study the order of approximation in C(R), the set of all uniformly continuous and bounded functions on R for the family (Kφ wf)w>0. Finally, we give some examples of kernels such as B-spline kernels and the Blackman-Harris kernel to which the theory can be applied.
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참고문헌 (29)
참고문헌 신청
T. Acar / 2018 / On Kantorovich modification of (p, q)-Bernstein operators / Iran. J. Sci. Technol. Trans. A Sci 42:1459~1464
A. M. Acu / 2015 / Stancu-Schurer-Kantorovich operators based on q-integers / Appl. Math. Comput 259:896~907
P. N. Agrawal / 1985 / Degree of approximation to integrable functions by Kantorovich polynomials / Boll. Un. Mat. Ital. A 6:323~326
F. Altomare / 2013 / On a Generalization of Szasz-Mirakjan-Kantorovich operators / Results Math 63:837~863
F. Altomare / 2006 / On a sequence of positive linear operators associated with a continuous selection of Borel measures / Mediterr. J. Math 3:363~382
A. M. Acu / 2015 / Stancu-Schurer-Kantorovich operators based on q-integers / Appl. Math. Comput 259:896~907
P. N. Agrawal / 1985 / Degree of approximation to integrable functions by Kantorovich polynomials / Boll. Un. Mat. Ital. A 6:323~326
F. Altomare / 2013 / On a Generalization of Szasz-Mirakjan-Kantorovich operators / Results Math 63:837~863
F. Altomare / 2006 / On a sequence of positive linear operators associated with a continuous selection of Borel measures / Mediterr. J. Math 3:363~382
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