Some New Reverse Hilbert’s Inequalities on Time Scales

This paper is interested in establishing some new reverse Hilbert-type inequalities, by using chain rule on time scales, reverse Jensen’s, and reverse Hölder’s with Specht’s ratio and mean inequalities. To get the results, we used the Specht’s ratio function and its applications for reverse inequalities of Hilbert-type. Symmetrical properties play an essential role in determining the correct methods to solve inequalities. The new inequalities in special cases yield some recent relevance, which also provide new estimates on inequalities of these type.

Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces. A representation of these norms in terms of semi-inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.

Análisis del desarrollo regional endógeno a través de la educación superior intercultural

Development, it is argued, poses important challenges that affect the future, equity and people's needs. Education is a fundamental tool to reverse inequalities. In this research carried out at the Veracruzana Intercultural University, the objective was to analyze the endogenous regional impact from the intercultural educational variables; The research was designed in a descriptive transactional way, since, through the evaluation of the variables defined around the dimensions: economic, social and environmental; An attempt was made to describe the extent to which each one has been affected by the implementation of the Intercultural University in the Huasteca region. The result shows that the Intercultural University is in the process of fulfilling the areas mentioned within endogenous development, giving a boost to the economy, to socio-cultural and environmental areas.

In-sphere property and reverse inequalities for matrix means

The in-sphere property for matrix means is studied. It is proved that the matrix power mean satisfies in-sphere property with respect to the Hilbert-Schmidt norm. A new characterization of the matrix arithmetic mean is provided. Some reverse AGM inequalities involving unitarily invariant norms and operator monotone functions are also obtained.

Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

In this paper we introduce the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces. A representation of these norms in terms of semi-inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.

Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces

In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear operators on Hilbert spaces. A representation of these norms in terms of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given. Several bounds for the norms δp, ϑp and the real norms ηr,p and θr,p are provided as well.

Inequalities for Hypo-q-Norms on a Cartesian Product of Inner Product Spaces

In this paper we introduce the hypo-q-norms on a Cartesian product of inner product spaces. A representation of these norms in terms of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al., Grüss type inequalities, Boas-Bellman and Bombieri type inequalities are also given.