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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 of $B$-Continuous and $B$-Differentiable Functions by GBS Operators Defined by Infinite Sum
Linear positive operators GBS operators $B$-continuous and $B$- differentiable functions approximation of $B$-continuous and $B$-differentiable functions by GBS operators
2010/1/22
In this paper we start from a class of linear and positive operators defined by infinite sum. We consider the associated GBS operators and we give an approximation of B-continuous and B-differentiable...
New integral inequalities for n-time differentiable functions with applications for pdfs
Incomplete Beta functions Incomplete Expectation
2010/9/10
We present some new integral inequalities for n−time differentiable functions, defined on a finite interval. These inequalities are used to obtain some new estimations for propability density fu...
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function
Fractional differentiability self-similar function Mittag-Leffler function
2010/9/14
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...
Approximation of $B$-Continuous and $B$-Differentiable Functions by GBS Operators of Bernstein Bivariate Polynomials
Linear positive operators Bernstein bivariate polynomials GBS operators $B$-differentiable functions
2008/7/2
In this paper we give an approximation of B-continuous and B -differentiable functions by GBS operators of Bernstein bivariate polynomials.
Absolutely Representing Systems of Exponentials in the Spaces of Infinitely-Differentiable Functions and Extendability in the Sense of Whitney
Exponentials Infinitely-Differentiable Functions Extendability
2010/3/1
Let Q be a compactum in~\mathbb{R}p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C\infty[Q] the space of functions from C\infty( int Q) uniformly continuous in int Q...
Differentiable Functions and the Generators on A Hilbert-Lie Group
Continuous convolution semigroup operator semigroup Hilbert-Lie group Lévy measure infinitesimal generator generating functional
2010/3/5
A convolution semigroup plays an important role İn the theory of probability measure on Lie groups. The basic problem is that one wants to express a semigroup as a Lévy-Khinckine formula. If (mt)...