A relation to Hilbert's integral inequality and some base Hilbert-type inequalities.
A remark over the converse of Hölder inequality.
A reverse Hardy-Hilbert-type inequality.
A reverse Hardy-Hilbert-type integral inequality.
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 Sawyer duality principle for radially monotone functions in .
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 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 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.
A sharp inequality of Ostrowski-Grüss type.
A sharpening of discrete analogues of Wirtinger's inequality
A short proof of Ky Fan's inequality
A stability version of Hölder's inequality for .
A Steffensen type inequality.
A stochastic Gronwall inequality and its applications.
A study of some constants characterizing the weighted Hardy inequality
A study on some new types of Hardy-Hilbert's integral inequality.
A sufficient condition for the integral version of Martins' inequality.