A new generalization of Ostrowski type inequality on time scales

A generalization of Ostrowski inequality on time scales for k points

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.

An Ostrowski-Gruss type inequality on time scales

In this paper we derive a new inequality of Ostrowski-Gruss type on time scales and thus unify corresponding continuous and discrete versions. We also apply our result to the quantum calculus case.

重访Ostrowski不等式

Revisiting Ostrowski's Inequality

该研究放宽了经典Ostrowski不等式的可微性条件，给出适用于含有限个不可微点连续函数的Ostrowski型不等式，同时对经典版本提出了更紧的改进形式。

A generalization of an inequality from IMO 2005

A generalization of an inequality from IMO is proven.

Generalizations of Popoviciu's inequality

We establish a general criterion for the validity of inequalities of the following form: A certain convex combination of the values of a convex function at n points and of its value at a weighted mean of these n points is always greater or equal to a convex combination of the values of the function at some other weighted means of these points. Here, the left hand side contains only one weighted mean, while the right hand side may contain as many as possible, as long as there are finitely many. The weighted mean on the left hand side must have positive weights, while those on the right hand sid…

Generalizations of an Ancient Greek Inequality about the Sequence of Primes

In this note, we generalize an ancient Greek inequality about the sequence of primes to the cases of arithmetic progressions even multivariable polynomials with integral coefficients. We also refine Bouniakowsky's conjecture [16] and Conjecture 2 in [22]. Moreover, we give two remarks on conjectures in [22]