On the Hölder and Cauchy--Schwarz inequalities

Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers

Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha-Mond results are given.

An intertwined Cauchy--Schwarz-type inequality based on a Lagrange-type identity

Based on an apparently new Lagrange-type identity, a Cauchy--Schwarz-type inequality is proved. The mentioned identity is obtained by using certain ``macro'' variables; it is hoped that such a method can be used to prove or produce other identities and inequalities.

Richard's inequality, Cauchy-Schwarz's inequality and approximate solutions of Sincov's equation

We observe a connection between Cauchy-Schwarz' and Richard's inequalities in inner product spaces and a Ulam-type stability problem for multiplicative Sincov's functional equation. We prove that this equation is super-stable for unbounded mappings, i.e. every unbounded approximate solution is an exact solution.

Some Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality in 2-Inner Product Spaces

In this paper, some reverses of the Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, some applications for determinantal integral inequalities are also provided.

加强的Cauchy-Schwarz和Hölder不等式

Strengthened Cauchy-Schwarz and Hölder inequalities

本文通过推导恒等式，给出了复内积空间中加强Cauchy-Schwarz不等式基本结果的新证明，并推广到加强Hölder不等式。

Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals

Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, applications for determinantal integral inequalities are also provided.