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Convergence theorems of iterative scheme for a countable family of nonexpansive mappings in a Banach space
Strong convergence nonexpansive mappings
2010/9/21
In this paper, we introduce a new Halpern type iterative sequence for a countable family of nonexpansive mappings. Then we prove that such a sequence converges strongly to a common fixed point of a co...
Shannon entropy for the Feller-Pareto (FP) family and order statistics of FP subfamilies
Burr distribution Entropy Feller-Pareto distribution
2010/9/20
In this paper, we derive the exact analytical expressions of entropy for the FellerPareto(FP) family and order statistics of FP subfamilies. The FP family is a very general unimodal distribution which...
A family of fractional integrals pertaining to multivariable I-function
Fractional integral Eulerian integral
2010/9/25
The object of this paper is to derive an Eulerian integral and a main theorem based upon the fractional operator associated with ¯H -function [3] and multivariable I-function [4] which provide un...
A modified Mann iteration process for common fixed points of an infinite family of nonexpansive mappings in Banach spaces
Nonexpansive mappings Strong and weak convergence
2010/9/25
A modified Mann iteration process for common fixed points of an infinite family of nonexpansive mappings in Banach spaces.
Menendez [3] derived Shaonnon’s entropy formula for exponential family. In this paper we proposed Taneja’s entropy formula for exponential family. Notice that this relation is the generalization of Me...
Further Notes on a Family of Continuous, Non-differentiable Functions
continuous nowhere di erentiable fractal Hausdor dimension
2011/2/23
We examine a parametrized family of functions Fa, all of which are continuous and some of which are nowhere or almost nowhere di erentiable.
Approximation methods for equilibrium problems and common solution for a finite family of inverse strongly-monotone problems in Hilbert spaces
Tikhonov regularization proximal point method contraction
2010/9/10
The purpose of the paper is to investigate approximation methods for finding an element that is not only a solution of a equilibrium problem but also a common solution for a finite family of inverse s...
A family of multivariate Abel series distributions of order k
Multivariate Abel series distributions of order k quasi multivariate logarithmic series distribution of order k
2010/9/14
In this paper an attempt is made to define the multivariate abel series distributions (MASDs) of order k. From MASD of order k, a new distribution called the quasi multivariate logarithmic series dist...
An Entropy Power Inequality for the Binomial Family
Entropy Power Inequality Discrete random variable
2008/7/3
In this paper, we prove that the classical Entropy Power Inequality, as derived in the continuous case, can be extended to the discrete family of binomial random variables with parameter 1/2.
Direct Results for Certain Family of Integral Type Operators
Linear positive operators Simultaneous approximation Steklov mean Modulus of continuity
2008/7/2
In the present paper we introduce a certain family of linear positive operators and study some direct results which include a pointwise convergence, asymptotic formula and an estimation of error in si...
On a Family of Linear and Positive Operators in Weighted Spaces
Linear positive operators Weighted approximation Rate of convergence
2008/6/30
In this paper, we present a modification of the sequence of linear operators proposed by Lupaş [6] and studied by Agratini [1]. Some convergence properties of these operators are given in weighte...
On a Hybrid Family of Summation Integral Type Operators
Linear positive operators Summation-integral type operators Rate of convergence Asymptotic formula Error estimate Local direct results $K$-functional Modulus of smoothness Simultaneous approximation
2008/6/30
The present paper deals with the study of the mixed summation integral type operators having Szász and Baskakov basis functions in summation and integration respectively. Here we obtain the rate of po...
On Analytic Functions Related to Certain Family of Integral Operators
Integral Operators Certain Family Analytic Functions
2008/6/30
On Analytic Functions Related to Certain Family of Integral Operators。
In this paper we consider the problem of normal family criteria and improve some results of I. Lihiri, S. Dewan and Y. Xu.
On a Uniformly Integrable Family of Polynomials Defined on the Unit Interval
Uniform integrability Bernstein polynomials Probability inequalities Combinatorial inequalities Completely monotonic functions
2008/6/27
In this short note, we establish the uniform integrability and pointwise convergence of an (unbounded) family of polynomials on the unit interval that arises in work on statistical density estimation ...