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[PDF] Top 20 On the Bombieri Inequality in Inner Product Spaces

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On the Bombieri Inequality in Inner Product Spaces

On the Bombieri Inequality in Inner Product Spaces

... , n } where δ ij is the Kronecker delta, then the following inequality is well known in the literature as Bessel’s inequality (see for example [8, p. 394]) gave the following generalisat[r] ... See full document

14

Generalizations of Buzano inequality for n-tuples of vectors in inner product spaces with applications

Generalizations of Buzano inequality for n-tuples of vectors in inner product spaces with applications

... In this paper some generalizations of Buzano inequality for n-tuples of vectors in inner product spaces are given. Applications for norm and numerical radius inequalities for n-tuples of ... See full document

14

A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces

A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces

... [1] J.B. DIAZ and F.T. METCALF, A complementary triangle inequality in Hilbert and Banach spaces, Proceedings Amer. Math. Soc., 17(1) (1966), 88-97. [2] S.S. DRAGOMIR, Advances in inequalities of the ... See full document

41

Some Inequalities in Inner Product Spaces Related to the Generalized Triangle Inequality

Some Inequalities in Inner Product Spaces Related to the Generalized Triangle Inequality

... Abstract. In this paper we obtain some inequalities related to the general- ized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the ... See full document

10

On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications

On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications

... In this paper, we shall give a generalization of the Gr¨ uss type inequality and obtain some applications of the Gr¨ uss type inequality in terms of 2-inner product spaces.. 1..[r] ... See full document

10

Grüss Inequality in Terms of △ - Seminorms and Applications

Grüss Inequality in Terms of △ - Seminorms and Applications

... DRAGOMIR, A generalization of Gr¨ uss’ inequality in inner product spaces and appli- cations, J.. FEDOTOV, An inequality of Gr¨ uss’ type for Riemann-Stieltjes integral and applications [r] ... See full document

11

Some Inequalities in 2-inner Product Spaces

Some Inequalities in 2-inner Product Spaces

... − inner product spaces in con- nection to A´ czel’s inequality ...in inner products, see ...− inner product spaces used different techniques as those in ... See full document

8

Pre-Grüss Type Inequalities in Inner Product Spaces

Pre-Grüss Type Inequalities in Inner Product Spaces

... The main aim of this paper is to provide some similar inequalities which, pro- viding refinements of the usual Gr¨ uss’ inequality, are known in the literature as pre-Gr¨ uss type inequalities. Applications for ... See full document

9

Some Inequalities of Aczél Type for Gramians in
Inner Product Spaces

Some Inequalities of Aczél Type for Gramians in Inner Product Spaces

... Proc. Dragomir, On Acz´ el’s inequality in inner product spaces, Acta Math. S´ andor, On Bessels’ and Gram’s inequalities in prehilbertian spaces,. Periodica Math. Kurepa, On the Buniako[r] ... See full document

11

Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-Mclenaghan Result

Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-Mclenaghan Result

... complex inner product spaces some classical reverses of the Cauchy-Bunyakovsky-Schwarz inequality for positive n−tuples due to Polya- Szeg¨ o [8], Cassels [10], Shisha-Mond [9] and ... See full document

10

System of Split General Variational Inequality Problems in Semi inner Product Spaces

System of Split General Variational Inequality Problems in Semi inner Product Spaces

... variational inequality problems which is a natural extension of system of split variational inequality problems and split variational inequality problems in semi-inner product ... See full document

7

Improved estimates for the triangle inequality

Improved estimates for the triangle inequality

... triangle inequality in the particular case of spaces with inner ...triangle inequality were obtained by Dragomir in ...triangle inequality using the Bochner integrable functions are ... See full document

12

Two Mappings Related To Semi-Inner Products And
Their Applications in Geometry of Normed Linear
Spaces

Two Mappings Related To Semi-Inner Products And Their Applications in Geometry of Normed Linear Spaces

... generate the norm of a real normed linear space, and study properties of monotonicity and bound- edness of these mappings. We give a refinement of the Schwarz inequality, applications to the Birkhoff ... See full document

16

Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces

Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces

... We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces and improve some generalisations of Bessel’s inequality obtained by Boas, Bellman and B[r] ... See full document

12

Reverses of the Cauchy-Bunyakovsky-Schwarz and Heisenberg Integral Inequalities for Vector-Valued Functions in Hilbert Spaces

Reverses of the Cauchy-Bunyakovsky-Schwarz and Heisenberg Integral Inequalities for Vector-Valued Functions in Hilbert Spaces

... in inner product spaces, we are able to state the following theorem concerning reverses of the (CBS) integral inequality for vector-valued functions in Hilbert ... See full document

18

Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality

Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality

... Abstract. In this paper we obtain some operator inequalities for functions de…ned by power series with real coe¢ cients and, more speci…cally, with non- negative coe¢ cients. In order to obtain these inequalities some ... See full document

10

On Generalizations of Grüss Inequality in Inner Product Spaces and Applications

On Generalizations of Grüss Inequality in Inner Product Spaces and Applications

... Remark 3.3. Based on inequality 2.23, one can improve, in a way similar to Theorem 3.1, all results related to Gr ¨uss inequality as in 1, 4–8. For example, in 1, pages 333-334, 7, page 2751, and 4, page ... See full document

18

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

... type inequality related to the Möbius addition in complex inner product spaces was ...type inequality in- cluding a mixture of the Möbius addition and the Möbius scalar multiplication ... See full document

18

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

More on reverse triangle inequality in inner product spaces

More on reverse triangle inequality in inner product spaces

... in inner product spaces are ...complex inner product space ( H ; · , · ), r , s > 0, p ∈ (0, s ], D = { x ∈ H , rx − sa ≤ p } , x 1 ,x 2 ∈ D − { 0 } , and α r , s = min { (r 2 x k 2 ... See full document

11

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