On derivatives of functions defined on disconnected sets, II
On determining sets for the class of somewhat continuous functions
On differentiability of Peano type functions
On differentiability of Peano type functions
On differentiability of Peano type functions. II
On differentiability with respect to parameters of the Lebesgue integral.
On Dini Derivatives and on a Property of Denjoy.
On Dini derivatives and on certain classes of Zahorski
On embedding of the class .
On entropy of patterns given by interval maps
Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].
On error bounds for Gauss-Legendre and Lobatto quadrature rules.
On essential -variation.
On Euler methods for Caputo fractional differential equations
Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments. Python codes are available to researchers for numerical simulations.
On exponents of convergence of subsequences
On extending functions from an open set to with applications
For and open in , let be the ring of real valued functions on with the first derivatives continuous. It is shown that for there is with and with . The function and its derivatives are not assumed to be bounded on . The function is constructed using splines based on the Mollifier function. Some consequences about the ring are deduced from this, in particular that .
On extreme first return path derivatives
On fixed points of continuous real functions
On Fourier coefficients of class .
On fractional derivatives
On fractional differentiation and integration on spaces of homogeneous type.
In this paper we define derivatives of fractional order on spaces of homogeneous type by generalizing a classical formula for the fractional powers of the Laplacean [S1], [S2], [SZ] and introducing suitable quasidistances related to an approximation of the identity. We define integration of fractional order as in [GV] but using quasidistances related to the approximation of the identity mentioned before.We show that these operators act on Lipschitz spaces as in the classical cases. We prove that...