Dokaz jedne nejednakosti J. Barkes-a
Domination in the families of Frank and Hamacher t-norms
Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher t-norms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is a maximal or minimal member of the family. The immediate consequence of this observation is the transitivity...
Dragomir-Agarwal type inequalities for several families of quadratures.
Dual spaces of local Morrey-type spaces
In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities.
Duality and best constant for a Trudinger–Moser inequality involving probability measures
Eine allgemeine logarithmische Ungleichung.
Eine Bemerkung zu Verallgemeinerungen der Ungleichung vom arithmetischen und geometrischen Mittel.
Eine Integralungleichung für streng monotone Funktionen mit logarithmisch konvexer Umkehrfunktion.
Eine Verallgemeinerung der Gleichung (n + 1)! = n! (n + 1) und zugehörige vermutete Ungleichungen.
Embedding theorems for Lipschitz and Lorentz spaces on lower Ahlfors regular sets
We prove norm inequalities between Lorentz and Besov-Lipschitz spaces of fractional smoothness.
Embeddings of concave functions and duals of Lorentz spaces.
A simple expression is presented that is equivalent to the norm of the Lpv → Lqu embedding of the cone of quasi-concave functions in the case 0 < q < p < ∞. The result is extended to more general cones and the case q = 1 is used to prove a reduction principle which shows that questions of boundedness of operators on these cones may be reduced to the boundedness of related operators on whole spaces. An equivalent norm for the dual of the Lorentz spaceΓp(v) = { f: ( ∫0∞ (f**)pv...
Equations fonctionnelles et estimations de normes de matrices.
Equivalence of some affine isoperimetric inequalities.
Error inequalities for a generalized quadrature rule.
Error inequalities for a quadrature formula of open type.
Estimating the sequence of real binomial coefficients.
Estimation on certain nonlinear discrete inequality and applications to boundary value problem.
Étude d'une inégalité intégrale non linéaire en deux variables
Existence criteria for positive solutions of a nonlinear difference inequality
This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Explicit bounds on some nonlinear integral inequalities.