On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces.
On certain inequalities for means in two variables.
On certain inequalities involving the Lambert W function.
On Jordan type inequalities for hyperbolic functions.
On new inequalities of Hadamard-type for Lipschitzian mappings and their applications.
On some curves in vector lattices.
On some inequalities characterizing the exponential function
On some Turán-type inequalities.
On the Cauchy-Schwarz inequality and its reverse in semi-inner product -modules.
On the Ostrowski type integral inequality.
On the zeros of the polynomials of Legendre
Optimal weighted harmonic interpolations between Seiffert means
We provide a set of optimal estimates of the form (1-μ)/𝓐(x,y) + μ/ℳ (x,y) ≤ 1/ℬ(x,y) ≤ (1-ν)/𝓐(x,y) + ν/ℳ (x,y) where 𝓐 < ℬ are two of the Seiffert means L,P,M,T, while ℳ is another mean greater than the two.
Polynomial selections and separation by polynomials
K. Nikodem and the present author proved in [3] a theorem concerning separation by affine functions. Our purpose is to generalize that result for polynomials. As a consequence we obtain two theorems on separation of an n-convex function from an n-concave function by a polynomial of degree at most n and a stability result of Hyers-Ulam type for polynomials.
Refinements and sharpenings of some double inequalities for bounding the gamma function.
Schur-convexity of the complete elementary symmetric function.
Sharp inequalities for periodic functions.
Some applications of the Briot-Bouquet differential subordination.
Some classes of completely monotonic functions.
Some inequalities for convex functions or order n
Some inequalities for the -digamma function.