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[PDF] Top 20 More on reverse triangle inequality in inner product spaces

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More on reverse triangle inequality in inner product spaces

More on reverse triangle inequality in inner product spaces

... Using several ideas and following the terminology of [4, 5], we modify or refine some results of Dragomir and ours [1] and get some new reverses of triangle inequality. Among several results, we show that ... See full document

11

Reverses of the Triangle Inequality in Banach Spaces

Reverses of the Triangle Inequality in Banach Spaces

... The aim of the present paper is to survey some of the recent results concerning multiplicative and additive reverses for both the discrete and continuous version of the triangle inequalities in Banach ... See full document

48

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, Selberg and ... See full document

10

Generalized Dunkl Williams inequality in 2 inner product spaces

Generalized Dunkl Williams inequality in 2 inner product spaces

... and (.) and obtained a generalization of inequalities (.) and (.). This paper contains two sections. In the first section, we will work on a generalized case of Dunkl-Williams inequality in -normed ... See full document

8

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

Reverse Triangle Inequality for Hilbert C*-Modules

Reverse Triangle Inequality for Hilbert C*-Modules

... Our aim is to give some generalizations of results in Hilbert spaces to the framework of Hilbert C ∗ -modules. For this purpose, first we recall some fundamental definitions in the theory of Hilbert modules. We ... See full document

11

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

... n-inner product and the corresponding Cauchy-Schwarz ...Cauchy-Schwarz inequality in unitary spaces, ...Cauchy-Schwarz inequality in ... See full document

17

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

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

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

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

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 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

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

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

A Grüss Type Discrete Inequality in Inner Product Spaces and Applications

A Grüss Type Discrete Inequality in Inner Product Spaces and Applications

... A Gr¨ uss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and [r] ... See full document

14

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

A Reverse of the Triangle Inequality in Inner Product Spaces and Applications for Polynomials

A Reverse of the Triangle Inequality in Inner Product Spaces and Applications for Polynomials

... A reverse of the triangle inequality in inner product spaces re- lated to the celebrated Diaz-Metcalf inequality with applications for complex polynomials is given1. Diaz and F.T.[r] ... See full document

8

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

... 2.2. The Case of m Vectors. In a similar manner to the one used in the proof of Theorem 3 and by the use of the Diaz-Metcalf inequality incorporated in Theorem 2, we can also prove the following result [3] : ... See full document

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