On logarithmic convexity for differences of power means.
On logarithmic convexity for power sums and related results.
On logarithmic convexity for power sums and related results. II.
On majorization, favard and Berwald inequalities.
On Mauldin's classification of real functions
On Mawhin's approach to multiple nonabsolutely convergent integral
On McShane-type integrals with respect to some derivation bases
Some observations concerning McShane type integrals are collected. In particular, a simple construction of continuous major/minor functions for a McShane integrand in is given.
On metric preserving functions and infinite derivatives.
On metric projections and distance functions in Banach spaces
On Mikusinski's perators of fractional integration
On Minkowski and Hermite-Hadamard integral inequalities via fractional integration.
On molecules and fractional integrals on spaces of homogeneous type with finite measure
In this paper we prove the continuity of fractional integrals acting on nonhomogeneous function spaces defined on spaces of homogeneous type with finite measure. A definition of the molecules which are used in the theory is given. Results are proved for , , BMO, and Lipschitz spaces.
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 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 multiplication formulae for Fox's H-function.
On multiplication of Perron-integrable functions
On Multiply Periodic Real Functions: An Addendum.
On th order differential equations over Hardy fields
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.