[PDF] Top 20 A Reverse of the Triangle Inequality in Inner Product Spaces and Applications for Polynomials
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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
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Reverses of the Triangle Inequality via Selberg's and Boas-Bellman's Inequalities
... Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Bellman generalisations of Bessel’s inequality are given.. Applications for complex numbe[r] ... See full document
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces
... 9. Applications for Vector-Valued Integral Inequalities Let (H; h·, ·i) be a Hilbert space over the real or complex number field, [a, b] a compact interval in R and η : [a, b] → [0, ∞) a Lebesgue integrable ... See full document
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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
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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality
... Schwarz inequality for vectors in inner product spaces are ...Natural applications for some elementary functions of interest are also ... See full document
10
More on reverse triangle inequality in inner product spaces
... generalized triangle in- equality 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 ... See full document
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Improved estimates for the triangle inequality
... a reverse of the triangle inequality in the particular case of spaces with inner ...the triangle inequality were obtained by Dragomir in ...the triangle ... See full document
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On Generalizations of Grüss Inequality in Inner Product Spaces and Applications
... Some generalizations and refinements of inequality 1.10 can be found in 1, 4–10. In this paper, we achieve an improvement of inequality 1.1 in the sense of subtracting a nonnegative quantity from the right ... See full document
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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
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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
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Some Inequalities in Inner Product Spaces Related to the Generalized Triangle Inequality
... ized triangle and quadratic triangle inequalities for vectors in inner product ...discrete inequality for vectors in normed linear spaces are also ... See full document
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Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln
... [11] S. S. Dragomir, A survey on Jessen’s type inequalities for positive functionals, in P. M. Pardalos et al. (eds.), Nonlinear Analysis, Springer Optimization and Its Applications 68, In Honor of Themistocles M. ... See full document
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Inequalities of Hermite-Hadamard type for HG-convex functions
... trowski type inequalities for functions whose modulus of the derivatives are convex and applications. Inequality Theory and Applications, vol. 2 (Chinju/Masan, 2001), 19–32, Nova Sci. Publ., ... See full document
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Inequalities of Hermite-Hadamard Type for HA-Convex Functions
... [5] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro,and A. Sofo, Ostrowski type in- equalities for functions whose modulus of the derivatives are convex and applications. In- equality Theory and ... See full document
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New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
... f (tx + (1 − t) y) ≤ [f (x)] t [f (y)] 1−t . (1.1) We note that if f and g are convex and g is increasing, then g ◦ f is convex; moreover, since f = exp (log f ) , it follows that a log-convex function is convex, but the ... See full document
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Jensen’s and Hermite–Hadamard’s Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces
... Jensen inequality and Hermite–Hadamard inequality are ones of the most important inequalities in convex analysis and they have various applications in mathematics, statistics, economics and ... See full document
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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
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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
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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
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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
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