Results 41 to 50 of about 112,843 (166)

Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani, Gopi Prasad   +3 more
wiley   +1 more source

Some Identities of the Probabilistic Changhee Polynomials and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations, fluid dynamics, and quantum mechanics.
Jin-Woo Park, Sang Jo Yun, Sangbeom Park, Jongkyum Kwon, Smritijit Sen   +4 more
wiley   +1 more source

On the construction and structural analysis of Bell-enriched Appell-lambda polynomials via quasi-monomiality

Journal of Nigerian Society of Physical Sciences
A fresh class of hybrid special polynomials, termed the Bell-enriched Appell-lambda-polynomials, is constructed through the discrete convolution of Bell-based lambda-polynomials with the Appell sequence.
Farukh Ahmed Mulani, Waseem Ahmad Khan, Shahid Ahmad Wani   +2 more
doaj   +1 more source

On the q-Lie group of q-Appell polynomial matrices and related factorizations

Special Matrices, 2018
In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj   +1 more source

New Classes of Degenerate Unified Polynomials

Axioms, 2022
In this paper, we introduce a class of new classes of degenerate unified polynomials and we show some algebraic and differential properties. This class includes the Appell-type classical polynomials and their most relevant generalizations.
Daniel Bedoya, Clemente Cesarano, Stiven Díaz, William Ramírez   +3 more
doaj   +1 more source

Some identities involving Appell polynomials [PDF]

Quaestiones Mathematicae, 2019
10 ...
Mihoubi, Miloud, Taharbouchet, Said
openaire   +3 more sources

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque, Mohammad Ayman-Mursaleen, Hojjatollah Amiri Kayvanloo, Smritijit Sen   +3 more
wiley   +1 more source

Multiple Binomial‐Type Operators and Their Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce multiple binomial‐type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin‐type theorem. Furthermore, by using the first and second modulus of continuity together with Peetre’s κ‐functional, we establish the rate of convergence ...
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Smritijit Sen   +3 more
wiley   +1 more source

Matrix approach to hypercomplex Appell polynomials [PDF]

, 2016
Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries.
Tomaz, Graça, Helmut Robert Malonek, Malonek, Helmuth R., Graça Tomaz, Malonek, Helmuth Robert, Malonek, Helmuth, Aceto, Lidia   +6 more
core   +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