Inequality In Inner Product Spaces Research Articles

An extension of Buzano's inequality in inner product spaces

An extension of Buzano's inequality in inner product spaces and applications for discrete and integral inequalities are given.

Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result

New reverses of the Schwarz inequality in inner product spaces that incorporate the classical Klamkin-McLenaghan result for the case of positive n-tuples are given. Applications for Lebesgue integrals are also provided.

More on reverse triangle inequality in inner product spaces

Refining some results of Dragomir, several new reverses of the generalized triangle inequality in inner product spaces are given. Among several results, we establish some reverses for the Schwarz inequality. In particular, it is proved that if a is a unit vector in a real or complex inner product space (H; 〈..〉), r, s > 0, p ∈ (0, s], D = {x ∈ H, ‖rx − sa‖ ≤ p}, x1, x2 ∈ D − {0}, and , then .

Unified treatment of complemented Schwarz and Grüss inequalities in inner product spaces

Unified treatment of complemented Schwarz and Grüss inequalities in inner product spaces

A generalization of Kurepa’s inequality

A generalization of Kurepa?s inequality in inner product spaces that extends in its turn the de Bruijn refinement of the Cauchy-Buniakovsky-Schwarz inequality for sequences of real and complex numbers is given.

On the Boas-Bellman inequality in inner product spaces

New results related to the Boas–Bellman generalisation of Bessel' inequality in inner product spaces are given.

A new generalization of Grüss inequality in inner product spaces

A new generalization of Grüss inequality in inner product spaces

A Grüss Type Discrete Inequality in Inner Product Spaces and Applications

A Grüss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces, and Lipschitzian vector valued mappings are given.

A Generalization of Grüss's Inequality in Inner Product Spaces and Applications

A generalization of the classical Grüss's integral inequality in inner product spaces is given. Some applications for positive linear functionals and integrals are also pointed out.

SOME INEQUALITIES IN 2-INNER PRODUCT SPACES

In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aczel's inequality in inner product spaces to 2-inner product spaces.

A generalization of J. Aczél's inequality in inner product spaces

A generalization of J. Aczél's inequality in inner product spaces