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GEOMETRIC, TOPOLOGICAL AND DIFFERENTIABLE RIGIDITY OF SUBMANIFOLDS IN SPACE FORMS
GEOMETRIC TOPOLOGICAL DIFFERENTIABLE RIGIDITY SUBMANIFOLDS SPACE FORMS
2018/4/19
Let M be an n-dimensional submanifold in the simply connected space form Fn+p(c) with c + H2 > 0, where H is the mean curvature of M. We verify that if Mn(n ≥ 3) is an oriented compact submanifold wit...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/8/18
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/9/21
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
About the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds
the Hochschild-Kostant-Rosenberg theorem differentiable manifolds Rings and Algebras
2011/8/24
Abstract: In this notes it will be provided a set of techniques which can help one to understand the proof of the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds. Precise definitions...
Almost reducibility for finitely differentiable SL(2,R)-valued quasi-periodic cocycles
reducibility finitely differentiable SL(2,R)-valued quasi-periodic cocycles
2010/11/12
Quasi-periodic cocycles with a diophantine frequency and with values in SL(2,R) are shown to be almost reducible as long as they are close enough to a constant, in the topology of k times differentia...
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...
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.
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...
A Perturbed Version of the Ostrowski Inequality for Twice Differentiable Mappings
Ostrowski Integral Inequality Quadrature Formulae
2010/3/1
A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applicati...
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)...