[PDF] Top 20 Some New Hilbert's Type Inequalities
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Some New Hilbert's Type Inequalities
... Hilbert’s type inequalities and their various ...proved some new inequalities similar to Hilbert’s inequality 11, page 226 involving series of nonnegative ... See full document
10
A survey on the study of Hilbert type inequalities
... Note that the constant factors in the above inequalities are all the best possible. We call () and () Hardy-Littlewood-Polya’s inequalities, or H-L-P inequalities. We find that the kernels in the ... See full document
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Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 4 (Dragomir, 2008, [4]). Let I be an interval and f : I → R be a convex and differentiable function on ˚ I (the interior of I) whose derivative f 0 is continuous on ˚ I . If A is a selfadjoint operators on the ... See full document
13
Some new Hermite–Hadamard type inequalities for s convex functions and their applications
... paper, some new results of Hermite–Hadamard type for s-convex functions are ...sults. Some applications of these results to trapezoidal formula and to special means have also been ... See full document
11
Some results on integral inequalities via Riemann–Liouville fractional integrals
... of s – ( α ,m)-convex functions and have established new integral ...Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson ... See full document
11
Some New Iyengar Type Inequalities
... [6] P. Cerone and S. S. Dragomir, On a weighted generalization of Iyengar type inequalities involving the bounded first derivative, Math. Inequal. Appl. 3 (2000), no. 1, 35–44. RGMIA Res. Rep. ... See full document
14
Some inequalities of Jensen type for operator convex functions in Hilbert spaces
... The Jensen inequality for convex functions plays a crucial role in the Theory of Inequal- ities due to the fact that other inequalities such as that arithmetic mean-geometric mean inequality, H¨ older and ... See full document
19
On Inverse Hilbert Type Inequalities
... to Hilbert inequalities and Hilbert-type inequalities and their various generalizations by several authors including Handley et ...gave some new integral ... See full document
6
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
... Abstract. Some new inequalities of the Kantorovich type are ...Several new reverse inequalities for the numerical radius of a bounded linear operator are obtained as ... See full document
12
Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
... Young inequalities, ...Bellman: Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Confer- ence on General ... See full document
18
A new more accurate half discrete Hilbert type inequality
... By using the way of weight functions and the idea of introducing parameters and by means of Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant factor. ... See full document
13
Fractional Ostrowski Inequalities for s-Godunova-Levin Functions
... derive some new inequalities of Ostrowski type for s-Godunova- Levin functions via fractional ...discuss some special ... See full document
7
A new discrete Hilbert type inequality involving partial sums
... discrete Hilbert-type inequality involving partial sums, similar to a result of Azar ...and some well-known classical ...consider some particular ... See full document
6
New Inequalities of Simpson's Type for s-Convex Functions with Applications
... Using the results of Section 2, we now provide some applications for numerical quadrature rules. Namely, we will consider the Simpson and Midpoint rules. 4.1. Applications to Simpson’s Formula. Let d be a division ... See full document
18
Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 4. Let A be a positive definite operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M with 0 < m < M. If f is a twice differentiable function on (m, M ) and ... See full document
10
On a composition of two Hilbert Hardy type integral operators and related inequalities
... gave some improvements of () and the discrete ...a new Hilbert-type operator and its applications, and [] and [] gave some multiple Hilbert-type operator ... See full document
18
Inverses of new Hilbert Pachpatte type inequalities
... a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte’s and ... See full document
11
Some inequalities of Čebyšev type for functions of operators in Hilbert spaces
... (f (s) − f (t)) (g (s) − g (t)) ≥ (≤) 0 which concludes the proof. Corollary 1. If the continuous functions f, g : J → R have the same mono- tonicity on J then for any A and B two commuting bounded ... See full document
15
On a Multiple Hilbert's Inequality with Parameters
... multiple Hilbert-type integral inequality ...extend Hilbert-type inequalities for the past 100 years. Some representative results are as follows ... See full document
12
On Hilbert type inequalities
... sum inequalities for the extensions of Hilbert’s inequality and also obtain their integral ...provide some new estimates to these types of ... See full document
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