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[PDF] Top 20 Some Inequalities of Aczél Type for Gramians in Inner Product Spaces

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Some Inequalities of Aczél Type for Gramians in
Inner Product Spaces

Some Inequalities of Aczél Type for Gramians in Inner Product Spaces

... out some new inequalities of Acz´ el type for Gramians which also generalize and extend the result of Peˇ cari´ c ...[9]. Some applications to real or complex numbers which are closely ... See full document

11

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

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

... of inner product ...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 ... See full document

21

On Generalizations of Grüss Inequality in Inner Product Spaces and Applications

On Generalizations of Grüss Inequality in Inner Product Spaces and Applications

... Note that all known trapezoid-Gr ¨uss, midpoint-Gr ¨uss, and Ostrowski-Gr ¨uss type inequalities, which are proved by applying the inequalities 1.3, 1.6, and 1.7, can be improved by using the ... See full document

18

Some Multiplicative Inequalities for Inner Products and of the Carlson Type

Some Multiplicative Inequalities for Inner Products and of the Carlson Type

... Carlson type for general measure spaces and prove some corollaries for the Lebesgue measure and the counting measure, which are improvements of inequalities ...an inner product ... See full document

7

On some inequalities for numerical radius of operators in Hilbert Spaces

On some inequalities for numerical radius of operators in Hilbert Spaces

... Dragomir, Advances in Inequalities of the Schwarz, Gr¨ uss and Bessel Type in Inner Product Spaces, Nova Science Publishers Inc, New York, 2005, x+249 p.. [10] S.[r] ... See full document

13

Hermitian Forms and Inequalities for Sequences and Power Series of Operators in Hilbert Spaces

Hermitian Forms and Inequalities for Sequences and Power Series of Operators in Hilbert Spaces

... Dragomir , Advances in Inequalities of the Schwarz, Gr¨ uss and Bessel Type in Inner Product Spaces , Nova Science Publishers Inc, New York,x+249 p., 2005.. [11] S.[r] ... See full document

24

New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces

New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces

... paper some new inequalities of Kantorovich ...uss’ type inequalities for vectors in inner product obtained by the author in [3]-[8] are ...reverse inequalities for the ... See full document

12

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

... In this article, we show some further extensions of CBS type inequality (1.1). One of them gives an affirmative and even sharper answer to Question 1.10. Another extension is related to both the Möbius ... See full document

18

On Some Discrete Inequalities in Normed Linear Spaces

On Some Discrete Inequalities in Normed Linear Spaces

... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces, RGMIA Monographs, Victoria University, 2005. KHALEELULA, On Diaz-Metcalf’s comple[r] ... See full document

9

Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality

Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality

... DRAGOMIR, Advances in Inequalities of the Schwarz, Gr¨ uss and Bessel Type in Inner Product Spaces, Nova Science Publishers, Inc., NY, 2005.. [5] Y.-C.[r] ... See full document

7

Inner Product Inequalities for Two Equivalent Norms and Applications

Inner Product Inequalities for Two Equivalent Norms and Applications

... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces , Nova Science Publishers, NY, 2007.. [3] S.S.[r] ... See full document

8

On Reverses of Some Inequalities in n Inner Product Spaces

On Reverses of Some Inequalities in n Inner Product Spaces

... 2-inner product spaces as generalization of norm and inner product ...2-inner product spaces can be found in the book in 2, 3 and in list of references in ... See full document

22

Pre-Grüss Type Inequalities in Inner Product Spaces

Pre-Grüss Type Inequalities in Inner Product Spaces

... provide some similar inequalities which, pro- viding refinements of the usual Gr¨ uss’ inequality, are known in the literature as pre-Gr¨ uss type ...measure spaces are also ... See full document

9

Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product Spaces

Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product Spaces

... Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given.. Applications for complex numbers are also provided1[r] ... See full document

10

Some Grüss' Type Inequalities in 2-Inner Product Spaces and Applications for Determinantal Integral Inequalities

Some Grüss' Type Inequalities in 2-Inner Product Spaces and Applications for Determinantal Integral Inequalities

... Theorem 3. Let (X, (., .|.)) be an inner product space over K ( K = R , C ) and e, z ∈ X, ke|zk = 1. If ϕ, γ, Φ, Γ are real or complex numbers and x, y are vectors in X such that the conditions (3.3) or, ... See full document

12

Inequalities Of Schwarz Type For n-Tuples Of Vectors In Inner Product Spaces With Applications

Inequalities Of Schwarz Type For n-Tuples Of Vectors In Inner Product Spaces With Applications

... paper some new inequalities of Schwarz and Buzano type for n-tuples of vectors in inner product spaces are ...radius inequalities for n-tuples of bounded linear operators ... See full document

17

Some Inequalities in 2-inner Product Spaces

Some Inequalities in 2-inner Product Spaces

... k x, z k , q = p k y, z k and using Cauchy-Schwarz’s inequality for 2 − inner products we deduce (3.3) . Corollary 3.4. Suppose that x, y, z ∈ X and M > 0 are such that k x, z k , k y, z k ≤ M. Then we have the ... See full document

8

6.  Some New Properties of Inner Product  Quasilinear Spaces

6. Some New Properties of Inner Product Quasilinear Spaces

... a inner product quasilinear spaces. We establish some new results related to this new ...of inner product quasilinear ...linear inner product spaces. Also, ... See full document

9

Reverses of the Schwarz Inequality in Inner Product Spaces and Applications

Reverses of the Schwarz Inequality in Inner Product Spaces and Applications

... Recent reverses for the celebrated Schwarz inequality in inner product spaces and applications for discrete and integral inequalities are sur- veyed1. Introduction.[r] ... See full document

28

Some results related to Bessel's inequality in inner product spaces

Some results related to Bessel's inequality in inner product spaces

... In this paper we obtain some inequalities related to the celebrated Bessel’s inequal- ity in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, ... See full document

10

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