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.