Erratum to “Simultaneous approximation for Bézier variant of Szász–Mirakyan–Durrmeyer operators” [J. Math. Anal. Appl. 328 (2007) 101–105]
نویسندگان
چکیده
منابع مشابه
Pointwise approximation by Bézier variant of integrated MKZ operators ✩
In this paper the pointwise approximation of Bézier variant of integrated MKZ operators for general bounded functions is studied. Two estimate formulas of this type approximation are obtained. The approximation of functions of bounded variation becomes a special case of the main result of this paper. In the case of functions of bounded variation, Theorem B of the paper corrects the mistake of T...
متن کاملSimultaneous approximation for Bézier variant of Szász–Mirakyan–Durrmeyer operators
We study the rate of convergence in simultaneous approximation for the Bézier variant of Szász– Mirakyan–Durrmeyer operators by using the decomposition technique of functions of bounded variation. © 2006 Elsevier Inc. All rights reserved.
متن کاملErratum to: "Stability for first-order delay dynamic equations on time scales" [Comput. Math. Appl 53 (2007) 1820-1831]
In [1], the authors study the stability of the delay dynamic equation x (t)+ p (t) x (t − τ (t)) = 0 for all t ∈ T, (1) where T (i.e., a nonempty subset of reals) is a time scale and p ∈ Crd ( T,R ) . The statements of their theorems and representations include some mistakes as follows: τ : T → (0, r] and t ∈ T with t − τ (t) ≥ minT, which implies t − τ (t) ∈ T. The forward jump operator σ (t) ...
متن کاملApproximation degree of Durrmeyer–Bézier type operators
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means...
متن کاملErratum to: "Oscillation of forced neutral differential equations with positive and negative coefficients" [Comput. Math. Appl 54 (2007) 1411-1421]
In [1], the author studied the oscillation of forced neutral delay differential equations with positive and negative coefficients, having the following form: [x(t)− R(t)x(t − r)] + P(t)x(t − τ)− Q(t)x(t − σ) = f (t), (1) where R, P, Q ∈ C([t0,∞),R) with r > 0, τ ≥ σ ≥ 0. The readers are referred to [1] for further details. The author uses an ill representation which yields a mistake. To avoid t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.03.021