Some Cauchy-Bunyakovsky-Schwarz Type Inequalities for Sequences of Operators in Hilbert Spaces
Some inequalities of Cauchy-Bunyakovsky-Schwarz type for sequences of bounded linear operators in Hilbert spaces and some applications are given.
math.OA↗
arXiv subjects
Sever Silvestru Dragomir
Publications and source records attributed to Sever Silvestru Dragomir.
Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications
Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.
math.CA↗
A Counterpart of Schwarz's Inequality in Inner Product Spaces
A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.
math.CA↗
A Generalised Trapezoid Type Inequality for Convex Functions
A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned.
math.NA↗
An Ostrowski Type Inequality for Convex Functions
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned.
math.NA↗
On Bessel and Gruss Inequalities for Orthornormal Families in Inner Product Spaces
A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.
math.CA↗
Some New Results Related to Bessel and Gruss Inequalities for Orthogonal Families in Inner Product Spaces
Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.
math.CA↗
A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results
A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.
math.CA↗
Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.
math.CA↗
An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are given.
math.CA↗
A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications
In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Renyi's entropy mappings are also given.
math.CA↗
Some Companions of Gruss Inequality in Inner Product Spaces
Some companions of Gruss inequality in inner product spaces and applications for integrals are given.
math.CA↗
On the p-Logarithmic and Alpha-Power Divergence Measures in Information Theory
In this paper we introduce the concepts of p-logarithmic and Alpha-power divergence measures and point out a number of basic results.
math.PR↗
New Inequalities of Gruss Type for the Stieltjes Integral and Applications
Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration are provided.
math.CA↗
The Median Principle for Inequalities and Applications
The median principle is applied for different integral inequalities of Gruss and Ostrowski type.
math.AP↗
Some Gruss Type Inequalities in Inner Product Spaces
Some new Gruss type inequalities in inner product spaces and applications for integrals are given.
math.AP↗