A remark on generalized iterates.
A remark on -harmonic functions on Riemannian manifolds.
A remark on linear functions on the sphere
A remark on local fractional calculus and ordinary derivatives
In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
A remark on the compactness for the Cahn–Hilliard functional
In this note we prove compactness for the Cahn–Hilliard functional without assuming coercivity of the multi-well potential.
A Remark on the Multidimensional Moment Problem.
A remark over the converse of Hölder inequality.
A Representation Theorem for a Convex Cone of Quasi Convex Functions.
A representation theorem for operators on a space of interval functions.
A reverse Hardy-Hilbert-type inequality.
A reverse Hardy-Hilbert-type integral inequality.
A reversed Poincaré inequality for monotone functions.
A review of selected topics in majorization theory
In this expository paper, some recent developments in majorization theory are reviewed. Selected topics on group majorizations, group-induced cone orderings, Eaton triples, normal decomposition systems and similarly separable vectors are discussed. Special attention is devoted to majorization inequalities. A unified approach is presented for proving majorization relations for eigenvalues and singular values of matrices. Some methods based on the Chebyshev functional and similarly separable vectors...
A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili
We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of filtering.
A sandwich theorem and Hyers-Ulam stability of affine functions.
A sandwich with convexity.
A sandwich with convexity for set-valued functions.
A Sawyer duality principle for radially monotone functions in .
A selection theorem of Helly type and its applications
We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.
A separation theorem for -convex functions.