On more general Lipschitz spaces.
On Multidimensional Analogue of Marchaud Formula for Fractional Riesz-Type Derivatives in Domains in R^n
2000 Mathematics Subject Classification: 26A33, 42B20There is given a generalization of the Marchaud formula for one-dimensional fractional derivatives on an interval (a, b), −∞ < a < b ≤ ∞, to the multidimensional case of functions defined on a region in R^n
On multidimensional Grüss type inequalities.
On multidimensional Ostrowski and Grüss type finite difference inequalities.
On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied. The convergence of this random walk to a fractional diffusion process governed by a symmetric operator defined as a hypersingular integral or the inverse of the Riesz potential in the sense of distributions is proved.* Supported by German Academic Exchange Service (DAAD).
On multiple Hardy-Hilbert integral inequalities with some parameters.
On multiplication formulae for Fox's H-function.
On multiplication of Perron-integrable functions
On multiplicatively perfect numbers.
On Multiply Periodic Real Functions: An Addendum.
On multivariate Ostrowski type inequalities.
On th order differential equations over Hardy fields
On new extensions of Hilbert's integral inequality.
On new generalizations of Hardy's integral inequalities.
On new inequalities of Hadamard-type for Lipschitzian mappings and their applications.
On new strengthened Hardy-Hilbert's inequality.
On non-absolutely convergent integrals
The influence of Jan Marik in the field of non absolute integration is described in the plane of Czech mathematics. A short historical account on the development of integration theory in the Czech region is presented in this connection together with the recent Riemann sum approach to the general Perron integral.
On nonstrict means.
On nowhere density of the class of somewhat continuous functions in
On nowhere weakly symmetric functions and functions with two-element range
A function f: ℝ → {0,1} is weakly symmetric (resp. weakly symmetrically continuous) at x ∈ ℝ provided there is a sequence hₙ → 0 such that f(x+hₙ) = f(x-hₙ) = f(x) (resp. f(x+hₙ) = f(x-hₙ)) for every n. We characterize the sets S(f) of all points at which f fails to be weakly symmetrically continuous and show that f must be weakly symmetric at some x ∈ ℝ∖S(f). In particular, there is no f: ℝ → {0,1} which is nowhere weakly symmetric. It is also shown that if at each point x we...