Polynomials and convex sequence inequalities.
Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means.
Positive trigonometric sums and applications.
Power-monotone sequences and Fourier series with positive coefficients.
Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means.
Proof of the best bounds in Wallis' inequality.
Proofs of three open inequalities with power-exponential functions.
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.
Redheffer type inequality for Bessel functions.
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.
Refinements and sharpenings of some double inequalities for bounding the gamma function.
Refinements, generalizations, and applications of Jordan's inequality and related problems.