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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.
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...
A Generalized Ostrowski-Grüss Type Inequality for Twice Differentiable Mappings and Applications
Ostrowski inequality Grüss inequality
2008/7/3
A generalized Ostrowski type inequality for twice differentiable mappings in terms of the upper and lower bounds of the second derivative is established. The inequality is applied to numerical integra...
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.
Some inequalities for the expectation and variance of a random variable whose PDF is $n$-time differentiable
Random Variable Expectation Variance Dispersion
2008/6/26
Some inequalities for the expectation and variance of a random variable whose p.d.f. is n-time differentiable are given.