Results 41 to 50 of about 1,030 (119)
Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties
Mathematics, 2020 In this article, we introduce Stancu type generalization of Baskakov–Durrmeyer operators by using inverse Pólya–Eggenberger distribution. We discuss some basic results and approximation properties. Moreover, we study the statistical convergence for these
Adem Kilicman +2 more
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Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]
Mathematica Bohemica, 2018 We introduce modified $(p,q)$-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity.
Mohammad Mursaleen, Ahmed A. H. Alabied
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Journal of Numerical Analysis and Approximation Theory, 2015 In this paper we present an overview of commutativity results and different methods for the proofs for Baskakov-Durrmeyer type operators and associated differential operators.
Margareta Heilmann
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Genuine q-Stancu-Bernstein–Durrmeyer Operators
Symmetry, 2023 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 moment Znq,α((t−x)2;x).
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Durrmeyer-Type Generalization of Parametric Bernstein Operators [PDF]
Symmetry, 2020 In this paper, we present a Durrmeyer type generalization of parametric Bernstein operators. Firstly, we study the approximation behaviour of these operators including a local and global approximation results and the rate of approximation for the Lipschitz type space.
Arun Kajla +2 more
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Bidding for Contracts under Uncertain Demand: Skewed Bidding and Risk Sharing
The RAND Journal of Economics, Volume 56, Issue 3, Page 325-343, Autumn (Fall) 2025.ABSTRACT Procurement projects often involve substantial uncertainty in inputs at the time of contracting. Whether the procurer or contractor assumes such risk depends on the specific contractual agreement. We develop a model of auction contracts where bidders have multidimensional private information.
Yao Luo, Hidenori Takahashi
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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
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SATURATION THEOREM FOR SZÁSZ-DURRMEYER OPERATORS
Demonstratio Mathematica, 1996 This paper deals with a generalized Szász operator \(S_n (f, x)\) defined as \[ S_n (f, x)= n\sum^\infty_{\nu =0} \varphi_{n, \nu} (x) \int^\infty_0 \varphi_{n, \nu} (t) f(t) dt, \] where \(\varphi_{n, \nu} (x)= e^{-nx} {{(nx)^\nu} \over {\nu!}}\). The operator \(S_n (f, x)\) was introduced by Coatmelec in 1980.
Gupta, Vijay, Srivastava, G. S.
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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 +3 more
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