On Mawhin's approach to multiple nonabsolutely convergent integral
On maximal overdetermined Hardy's inequality of second order on a finite interval
A characterization of the weighted Hardy inequality Fu 2 C F“v 2, F(0)=F’(0)=F(1)=F’(1)=0 is given.
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 midpoint convex set-valued functions.
On Mikusinski's perators of fractional integration
On Minkowski and Hardy integral inequalities.
On Minkowski and Hermite-Hadamard integral inequalities via fractional integration.
On models of long-term behavior of concrete
Long-term behavior of concrete is modeled by several widely accepted models, such as B3, fib MC 2010, or ACI 209 whose input parameters and output values are not identical to each other. Moreover, the input and, consequently, the output values are uncertain. In this paper, fuzzy input parameters are considered in uncertainty quantification of each model response and, finally, the sets of responses are analyzed by elementary tools of evidence theory. That is, belief and plausibility functions are...
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 monotone extensions of boundary data.
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