Results 21 to 30 of about 491,506 (127)

Applications of q‐Symmetric Derivative Operator to the Subclass of Analytic and Bi‐Univalent Functions Involving the Faber Polynomial Coefficients

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, using the basic concepts of symmetric q‐calculus operator theory, we define a symmetric q‐difference operator for m‐fold symmetric functions. By considering this operator, we define a new subclass ℛb(φ, m, q) of m‐fold symmetric bi‐univalent functions in open unit disk U. As in applications of Faber polynomial expansions for fm ∈ ℛb(φ, m,
Mohammad Faisal Khan   +5 more
wiley   +1 more source

On the order of approximation by modified summation-integral-type operators based on two parameters

open access: yesDemonstratio Mathematica, 2023
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul   +2 more
doaj   +1 more source

Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces

open access: yesJournal of Inequalities and Applications, 2019
In the present manuscript, we define a non-negative parametric variant of Baskakov–Durrmeyer operators to study the convergence of Lebesgue measurable functions and introduce these as α-Baskakov–Durrmeyer operators.
Md Nasiruzzaman   +3 more
doaj   +1 more source

On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

open access: yesJournal of Function Spaces, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj   +1 more source

Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces

open access: yesJournal of Inequalities and Applications, 2022
In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
doaj   +1 more source

Modified Bernstein–Durrmeyer Type Operators

open access: yesMathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +1 more source

Studying Baskakov–Durrmeyer operators and quasi-interpolants via special functions [PDF]

open access: yes, 2007
We prove that the kernels of the Baskakov–Durrmeyer and the Szász–Mirakjan–Durrmeyer operators are completely monotonic functions. We establish a Bernstein type inequality for these operators and apply the results to the quasi-interpolants recently ...
Berdysheva, Elena E.
core   +1 more source

Approximation By Durrmeyer-Bezier Operators

open access: yes, 2008
In the present paper, we consider the Bezier variant Mn, α (f, x) of the generalized Durrmeyer type operators, and obtain an estimate on the rate of convergence of Mn, α (f, x) for the decomposition technique of functions of bounded variation. In the end
Mohapatra, R. N., Gupta, Vijay
core   +2 more sources

Bernstein-Durrmeyer type operators [PDF]

open access: yes, 1981
RésuméWe study here a new kind of modified Bernstein polynomial operators on L1(0, 1) introduced by J. L. Durrmeyer in [4]. We define for f integrable on [0, 1] the modified Bernstein polynomial Mn f: Mnf(x) = (n + 1) ∑nk = oPnk(x)∝10 Pnk(t) f(t) dt.
Heiner Gonska   +5 more
core   +1 more source

On the eigenstructure of the q -Durrmeyer operators [PDF]

open access: yes, 2023
The purpose of this paper is to establish the eigenvalues and the eigenfunctions of both the q -Durrmeyer operators Dn,q and the limit q -Durrmeyer operators D∞,q introduced by V. Gupta in the case 0 < q < 1.
Yılmaz, Övgü Gürel
core   +1 more source

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