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552 results on '"Dragomir, S. S."'

2. Trapezoidal type inequalities related to h-convex functions with applications

Author

Delavar, M. Rostamian and Dragomir, S. S.

Subjects
Mathematics - Functional Analysis
Abstract

A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection with special means, random variable and trapezoidal formula.

Published
2018
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3. Some results on singular value inequalities of compact operators in Hilbert space

Author

Taghavi, A., Darvish, V., Nazari, H. M., and Dragomir, S. S.

Subjects
Mathematics - Functional Analysis, 15A60, 47A30, 47B05, 47B10
Abstract

We prove several singular value inequalities for sum and product of compact operators in Hilbert space. Some of our results generalize the previous inequalities for operators. Also, applications of some inequalities are given., Comment: 14

Published
2015

4. Hermite-Hadamard type inequality for operator preinvex functions

Author

Ghazanfari, A. G., Shakoori, M., Barani, A., and Dragomir, S. S.

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, 26D10, 47A63
Abstract

In this paper we establish a Hermite- Hadamard type inequality for operator preinvex functions and an estimate of the right hand side of a Hermite- Hadamard type inequality in which some operator preinvex functions of selfadjoint operators in Hilbert spaces are involved., Comment: 9 pages. arXiv admin note: text overlap with arXiv:1207.0928

Published
2013

5. Spectral Radius Inequalities for Functions of Operators Defined by Power Series

Author

Dragomir, S. S.

Subjects
Mathematics - Functional Analysis, 47A63, 47A99
Abstract

By the help of power series f we can naturally construct another power series that has as coefficients the absolute values of the coefficients of f. Utilising these functions we prove some inequalities for the spectral radius of the bounded linear operator f(T) on a complex Hilbert space and some functions of its norm. The case of two commuting operators is also investigated.

Published
2013

6. New some Hadamard's type inequalities for co-ordinated convex functions

Author

Sarikaya, M. Z., Set, E., Ozdemir, M. E., and Dragomir, S. S.

Subjects
Mathematics - Classical Analysis and ODEs, 26A51, 26D15
Abstract

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

Published
2010

7. Bessel type inequalities in Hilbert C*-modules

Author

Dragomir, S. S., Khosravi, M., and Moslehian, M. S.

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, 46L08, 46L05, 47A63, 47B10, 47A30
Abstract

Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombiari and Boas--Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert $C^*$-modules., Comment: 11 pages, to appear in Linear Multilinear Algebra

Published
2009

8. Inequalities of Hermite-Hadamard Type for GG-Convex Functions

Author

Dragomir S. S.

Subjects
convex functions, integral inequalities, gg-convex functions, Mathematics, QA1-939
Abstract

Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.

Published
2019
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9. A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

Author

Delavar M. Rostamian, Dragomir S. S., and De La Sen M.

Subjects
h-convex function, Hermite-Hadamard inequality, Mathematics, QA1-939
Abstract

A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite-Hadamard inequality.

Published
2019
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10. Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

Author

Dragomir S. S.

Subjects
jensen’s inequality, hermite-hadamard inequality, positive maps, operator convex functions, arithmetic mean-geometric mean inequality, 47a63, 47a30, 15a60, Mathematics, QA1-939
Abstract

In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.

Published
2019
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11. Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals

Author

Cerone, P., Cho, Y. J., Dragomir, S. S., and Kim, S. S.

Subjects
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, 46C05, 26D15
Abstract

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.

Published
2003

12. Norm Estimates for the Difference Between Bochner's Integral and the Convex Combination of Function's Values

Author

Cerone, P., Cho, Y. J., Dragomir, S. S., Kim, J. K., and Kim, S. S.

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Numerical Analysis, 26D15, 41A55
Abstract

Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval [a,b].

Published
2003

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

Author

Dragomir, S. S., Cho, Y. J., and Kim, S. S.

Subjects
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, 46C05, 46C99, 26D15, 26D10
Abstract

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.

Published
2003

15. Some Boas-Bellman Type Inequalities in 2-Inner Product Spaces

Author

Dragomir, S. S., Cho, Y. J., Kim, S. S., and Sofo, A.

Subjects
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, 46C05, 46C99, 26D15, 26D10
Abstract

Some inequalities in 2-inner product spaces generalizing Bessel's result that are similar to the Boas-Bellman inequality from inner product spaces, are given. Applications for determinantal integral inequalities are also provided.

Published
2003

16. Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Author

Dragomir S. S.

Subjects
young’s inequality, hölder operator inequality, operator means, arithmetic mean-geometric mean inequality, 47a63, 47a30, 26d15, 26d10, 15a60, Mathematics, QA1-939
Abstract

In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.

Published
2018
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19. Hermitian Forms and Inequalities for Sequences and Power Series of Operators in Hilbert Spaces

Author

Dragomir S. S.

Subjects
hermitian forms, hilbert spaces, bounded linear operators, normal operators, operator norm and numerical radius, Mathematics, QA1-939
Abstract

By the use of some inequalities for nonnegative Hermitian forms various inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established. Applications for some fundamental functions of interest are also given.

Published
2017
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25. Further Inequalities for Sequences and Power Series of Operators in Hilbert Spaces Via Hermitian Forms

Author

Dragomir S. S.

Subjects
hermitian forms, inner product, hilbert space, schwarz inequality, numerical radius, operator norm, functions of operators, Mathematics, QA1-939
Abstract

By the use of some inequalities for nonnegative Hermitian forms some new inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established. Applications for some fundamental functions of interest are also given.

Published
2016
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26. Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications

Author

Latif M. A., Dragomir S. S., and Momoniat E.

Subjects
hermite-hadamard’s inequality, co-ordinated convex function, coordinated wright-convex function, co-ordinated quasi-convex function, hölder’s integral inequality, quadrature formula, Mathematics, QA1-939
Abstract

In this paper, a new weighted identity for functions defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of co-ordinated convex, co-ordinated wright-convex and co-ordinated quasi-convex functions on the rectangle from the plane are established which provide weighted generalization of some recent results proved for co-ordinated convex functions. Some applications of our results to random variables and 2D weighted quadrature formula are given as well.

Published
2016
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32. Inequalities of Hermite-Hadamard Type

Author

Dragomir S. S.

Subjects
convex functions, integral inequalities, λ-convex functions, Mathematics, QA1-939
Abstract

Some inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.

Published
2015
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43. Tensorial and Hadamard product inequalities for functions of selfadjoint operators in Hilbert spaces in terms of Kantorovich ratio.

Author

DRAGOMIR, S. S.

Subjects
SELFADJOINT operators, CONVEX functions, HILBERT space, MATHEMATICAL models, MATHEMATICAL formulas
Abstract

Let H be a Hilbert space. In this paper we show among others that, if f; g are continuous on the interval I with..... The above inequalities also hold for the Hadamard product "o" instead of tensorial product. [ABSTRACT FROM AUTHOR]

Published
2023
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46. REVERSE JENSEN INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS AND POSITIVE LINEAR MAPS IN C∗-ALGEBRAS

Author

DRAGOMIR, S. S.

Abstract

Let A and B be unital C∗ -algebras. In this paper we obtain several operator inequalities providing upper bounds for the difference ∫Tϕt (f (xt)) dμ (t) -f(∫Tϕt (xt) dμ (t)), where f : I ! R is a convex function defined on an interval I , (ϕt)t∈T is a unital field of positive linear mappings ϕt : A ! B defined on a locally compact Hausdorff space T with a bounded Radon measure μ and (xt)t∈T is a bounded continuous field of selfadjoint elements in A with spectra contained in I. Several Hermite-Hadamard type inequalities are given. Some examples for convex and operator convex functions are also provided.

Published
2021

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