A note on Ostrowski's inequality.
A note on signs of Kloosterman sums
We prove that the sign of Kloosterman sums changes infinitely often as runs through the square-free numbers with at most prime factors. This improves on a previous result by Sivak-Fischler who obtained 18 instead of 15. Our improvement comes from introducing an elementary inequality which gives lower and upper bounds for the dot product of two sequences whose individual distributions are known.
A note on some new refinements of Jensen's inequality for convex functions.
A note on the Gini means.
A note on the Hölder inequality.
A note on the integral inequalities with two dependent limits.
A note on the magnitude of Walsh Fourier coefficients.
A Note on the Men'shov-Rademacher Inequality
We improve the constants in the Men’shov-Rademacher inequality by showing that for n ≥ 64, for all orthogonal random variables X₁,..., Xₙ such that .
A note on the perturbed trapezoid inequality.
A note on the Poincaré inequality
The Poincaré inequality is extended to uniformly doubling metric-measure spaces which satisfy a version of the triangle comparison property. The proof is based on a generalization of the change of variables formula.
A note on the upper bounds for the dispersion.
A note on weighted identric and logarithmic means.
A part-metric-related inequality chain and application to the stability analysis of difference equation.
A perturbed Ostrowski-type inequality on time scales for points for functions whose second derivatives are bounded.
A pointwise estimate for the solution to a linear Volterra integral equation
Utilizzando una generalizzazione della disuguaglianza di Gronwall si fornisce una stima puntuale per la soluzione dell’equazione lineare integrale di Volterra di seconda specie. Tale stima può essere applicata utilmente anche nello studio della stabilità di equazioni di evoluzione per mezzi continui.
A polynomial inequality generalising an integer inequality.
A potpourri of Schwarz related inequalities in inner product spaces. II.
A potpourri of Schwarz related inequalities in inner product spaces. I.
A problem of theodore S. Motzkin on the arithmetic mean
A proof of Hölder's inequality using the Cauchy-Schwarz inequality.