A note on a Trapezoid Type Integral Inequality
A note on Aczél type inequalities.
A note on differences of Power means
A note on Gehring's lemma.
A note on generalized fractional integral operators on generalized Morrey spaces.
A note on Hölder type inequality for the fermionic -adic invariant -integral.
A note on Hölder's inequality
A Note on Inequalities of Diaz-matcalf Type for Isotonic Linear Functionals
A note on integral inequalities and embeddings of Besov spaces.
A note on integral inequalities involving the product of two functions.
A note on logarithmically completely monotonic ratios of certain mean values.
A note on Mathieu's inequality.
A note on Mathieu's inequality.
A note on Ostrowski like inequalities.
A note on Ostrowski like inequalities in spaces.
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.