Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results.
Parametric two-point integral inequalities for -time differentiable functions with applications.
Perturbations of an Ostrowski type inequality and applications.
Petrova elementární metoda vyšetřování Fourierových řad
Poincaré inequalities for the Heisenberg group target.
Poincaré type inequalities for variable exponents.
Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus
Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties of this function with proofs...
Polynomials and convex sequence inequalities.
Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means.
Power-monotone sequences and Fourier series with positive coefficients.
Properties of a new class of recursively defined Baskakov-type operators
By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus...
Proving inequalities in acute triangle with difference substitution.
Quelques exemples d'application du transport de mesure en géométrie euclidienne et riemannienne
Quotient mean series.
Rado's Inequality
Ramanujan's harmonic number expansion into negative powers of a triangular number.
Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus
The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive form.
Recurring mean inequality of random variables.
Refined multidimensional Hardy-type inequalities via superquadracity.
Refinement of the Jensen integral inequality
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.