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.
A sequence of mappings associated with the Hermite-Hadamard inequalities and applications
New properties for some sequences of functions defined by multiple integrals associated with the Hermite-Hadamard integral inequality for convex functions and some applications are given.
A sequence of mappings connected with Jensen's inequality and applications
A sequence of sharp trigonometric inequalities
A sharp bound for a sine polynomial
We prove that for all integers n ≥ 1 and real numbers x. The upper bound Si(π) is best possible. This result refines inequalities due to Fejér (1910) and Lenz (1951).
A sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral and applications.
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
A sharp double inequality for sums of powers.