Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Pembe Sabancigil"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Abstract In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m =
Externí odkaz:
https://doaj.org/article/fc611b8e3dfc41539744c4cc30298feb
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-15 (2022)
Abstract In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-typ
Externí odkaz:
https://doaj.org/article/0f1c9921b8ce4d4cbe2846cfbc2218c4
Autor:
Hayatem Hamal, Pembe Sabancigil
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract In this paper, a new ( p , q ) $( p,q ) $ -analogue of the Balázs–Szabados operators is defined. Moments up to the fourth order are calculated, and second order and fourth order central moments are estimated. Local approximation propertie
Externí odkaz:
https://doaj.org/article/7b2d3f09645f4ab5be4c9169fecaa5a3
Autor:
Hayatem Hamal, Pembe Sabancigil
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Externí odkaz:
https://doaj.org/article/a511cb08bf514d0aab5c11c4d38c276b
Autor:
Hayatem Hamal, Pembe Sabancigil
Publikováno v:
Symmetry, Vol 14, Iss 5, p 1054 (2022)
In this paper, we define a new Kantorovich-type (p,q)-generalization of the Balázs–Szabados operators. We derive a recurrence formula, and with the help of this formula, we give explicit formulas for the first and second-order moments, which follo
Externí odkaz:
https://doaj.org/article/182c4e1c0eb64e2d9d6a0ffa92e539bb
Autor:
Pembe Sabancigil
Publikováno v:
Symmetry
Volume 15
Issue 2
Pages: 437
Volume 15
Issue 2
Pages: 437
In the present paper, we introduce the genuine q-Stancu-Bernstein–Durrmeyer operators Znq,α(f;x). We calculate the moments of these operators, Znq,α(tj;x) for j=0,1,2, which follows a symmetric pattern. We also calculate the second order central
Autor:
Pembe Sabancigil, Hayatem Hamal
Publikováno v:
Symmetry; Volume 14; Issue 5; Pages: 1054
In this paper, we define a new Kantorovich-type (p,q)-generalization of the Balázs–Szabados operators. We derive a recurrence formula, and with the help of this formula, we give explicit formulas for the first and second-order moments, which follo
Autor:
Hayatem Hamal, Pembe Sabancigil
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-14 (2021)
In this paper, a new$( p,q ) $(p,q)-analogue of the Balázs–Szabados operators is defined. Moments up to the fourth order are calculated, and second order and fourth order central moments are estimated. Local approximation properties of the operato
Autor:
Pembe Sabancigil, I Nazim Mahmudov
Publikováno v:
Filomat. 27:721-730
In the present paper we introduce a q-analogue of the Bernstein-Kantorovich operators and investigate their approximation properties. We study local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich ope
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 48:205-219
In this paper we studyI-approximation properties of certain class of linear positive operators. The two main tools used in this paper areI-convergence and Ditzian-Totik modulus of smoothness. Furthermore, we defineq-Lupaş-Durrmeyer operators and giv