Results 21 to 30 of about 491,506 (127)
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
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
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
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
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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
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
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Studying Baskakov–Durrmeyer operators and quasi-interpolants via special functions [PDF]
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
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]
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]
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
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