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Papers by Ana Acu

Results in Mathematics, 2016

Annals of Functional Analysis, 2017

Mediterranean Journal of Mathematics, 2016

We consider a generalization form of certain integral inequalities given by Guessab, Schmeisser a... more We consider a generalization form of certain integral inequalities given by Guessab, Schmeisser and Alomari. The trapezoidal, mid point, Simpson, Newton-Simpson rules are obtained as special cases. Also, inequalities for the generalized Alomari functional in term of the n-th order modulus, n = 1, 4, are given and applied to some known quadrature rules.

Journal of Inequalities and Applications, 2016

Let K be a nonempty closed convex subset of a real Banach space E, T i : K → K, i = 1, 2 be two u... more Let K be a nonempty closed convex subset of a real Banach space E, T i : K → K, i = 1, 2 be two uniformly L-Lipschitzian asymptotically pseudocontractive mappings with sequence {k n } n≥0 ⊂ [1, ∞), n≥0

Banach Journal of Mathematical Analysis, 2016

Mathematical Methods in the Applied Sciences, 2016

Our goal is to present approximation theorems for a Durrmeyer variant of q-Bernstein-Schurer oper... more Our goal is to present approximation theorems for a Durrmeyer variant of q-Bernstein-Schurer operators define by C.V. Muraru and modified by M.Y. Ren and X.M. Zeng. C.V. Muraru and A.M. Acu studied the Durrmeyer variant of the original q-Bernstein-Schurer using uniforme convergence. Our choice is to use both, the uniforme convergence and the statistical convergence to establish some approximation theorems for the Durrmeyer variant of the modified q-Bernstein-Schurer operators.

In recent years, there are many preoccupations in construction and study of generalized version i... more In recent years, there are many preoccupations in construction and study of generalized version in q-calculus of well-known linear and positive operators. In [5] is introduced a q-type of Schurer Bernstein operators. We will propose a Durrmeyer variant of q-Schurer operators of the form studied in . Also, a Bohman-Korovkin type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed.

We establish a general theorem to approximate common fixed points of Ciric quasi-contractive oper... more We establish a general theorem to approximate common fixed points of Ciric quasi-contractive operators on a normed space through the modified Ishikawa iteration process with errors in the sense of Xu . Our result generalizes and improves upon, among others, the corresponding results of .

Results in Mathematics, Jun 29, 2009

ABSTRACT Ostrowski’s classical inequality and modifications thereof are generalized using the lea... more ABSTRACT Ostrowski’s classical inequality and modifications thereof are generalized using the least concave majorant of the modulus of continuity and the second order modulus of smoothness.

In this paper we present a new family of four-point quadrature formulas of close type. These quad... more In this paper we present a new family of four-point quadrature formulas of close type. These quadrature formulas can be considered as generalizations of Gauss, Newton, Simpson and Lobatto quadrature formulas for different classes of functions. The optimal quadrature formulas in the sense of minimal errors are obtained. An analysis of error inequalities for different classes of functions is also given. f (n) (x) , f ∈ H n,∞ [a, b].

Numerical Algorithms, 2016

ABSTRACT The trivarite pseudo–Weibull distribution has been proposed. Some distributional propert... more ABSTRACT The trivarite pseudo–Weibull distribution has been proposed. Some distributional properties of the distribution has been studied. The distribution of two concomitants has been obtained. The conditional distribution of one concomitant given the information of other has also been obtained. Moments of the resulting distributions has been computed.

In the present paper we introduce a q-analogue of the bivariate Durrmeyer operators. A convergenc... more In the present paper we introduce a q-analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined. Also, a Voronovskaja type theorem has been investigated for these operators.

Abstract. Suppose E= Lp (or lp), p≥ 2, and C is a nonempty closed convex subset of E. Let T: C→ C... more Abstract. Suppose E= Lp (or lp), p≥ 2, and C is a nonempty closed convex subset of E. Let T: C→ C be a continuous pseudocontractive mapping. Let {αn},{βn},{γn} and {δn} be four real sequences, satisfying the following conditions:(i) 0≤ αn, βn, δn≤ 1, 0< γn< 1;(ii) αn+ ...

Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let {T i ... more Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let {T i :i set membership, variant I} be N semi-compact nonexpansive self-mappings of K with View the MathML source (here F(T i ) denotes the set of fixed points of T i ). Suppose that ...