Results 51 to 60 of about 15,068,261 (111)

Novel fractional Schurer type operators with explicit error bounds and applications

Journal of Inequalities and Applications
In this present paper, we introduce Riemann-Liouville fractional type Schurer operators and its approximation properties. Firstly, we calculate the some estimates for these operators.
Tripuresh Mishra, Karunesh Kumar Singh, Mohammad Ayman-Mursaleen, Nadeem Rao   +3 more
doaj   +1 more source

Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman, Esmail Alshaban, Fahad Maqbul Alamrani, Adel Alatawi, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

Mathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

A new generalization of Szász operators and its approximation properties

, 2018
In this presentation, we attempt to introduce a new generalization of the Szasz operators including Hermite polynomials with two variable and shed light on their approximation features with help of the classical modulus of continuity, Peetre’s-K ...
Yazıcı, Serdal, Çekim, Bayram
core   +1 more source

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

Charlier–Szász–Durrmeyer tipi pozitif lineer operatörler

, 2023
Bu tez altı bölümden oluşmaktadır. İlk bölüm giriş kısmına ayrılmıştır. İkinci bölümde temel tanım ve teoremler verilmiştir. Üçüncü bölümde Charlier- Szàsz- Durrmeyer tipi operatörlerin Korovkin teoremi yardımıyla yaklaşımı incelenmiştir.
Melike TEKE
core   +1 more source

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.
Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley   +1 more source

Riemann–Liouville Fractional Integral Form of Modified Baskakov-Type Operators: Approximation Properties and Statistical Convergence

Mathematics
In this paper, a generalized sequence of Baskakov operators connected to the Riemann–Liouville fractional integral is introduced. These sequences of operators deal with smooth approximation behavior in a wider class, i.e., a class of measurable functions
Tripuresh Mishra, Karunesh Kumar Singh, Nadeem Rao, Md. Nasiruzzaman   +3 more
doaj   +1 more source