[PDF] Top 20 More results on a functional generalization of the Cauchy Schwarz inequality
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More results on a functional generalization of the Cauchy Schwarz inequality
... aforesaid functional property, many classical inequalities such as Chebyshev, Stefensen and Aczel inequalities have been generalized in ...the results of Theorem ... See full document
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ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS
... [2] Anderson DR, Taylor’s formula and integral inequalities for conformable fractional derivatives, Contri- butions in Mathematics and Engineering, in Honor of Constantin Caratheodory, Springer, to appear. [3] D. R. ... See full document
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A Generalization of the Cauchy Schwarz Inequality with Eight Free Parameters
... The results of the recent published paper by Masjed-Jamei et ...known Cauchy-Schwarz and Cauchy-Bunyakovsky inequalities having eight free parameters and then introduce some of their ... See full document
9
Spectral Radii of Operators and High-Power Operator Inequalities
... the inequality |(T x, y)| 2 ≤ (T x, x)(T y, y) holds for T ≥ 0 and for all x, y ∈ H (consider the unique positive square root of T ...the Cauchy-Schwarz inequality, and this is crucial in the ... See full document
7
Generalized Norms Inequalities for Absolute Value Operators
... In this section, we generalize some unitarily invariant norms inequalities for ab- solute value operators. Our results based on several lemmas. First two lemmas contain norm inequalities of Minkowski type and ... See full document
9
On the Cauchy Functional Inequality in Banach Modules
... of functional equations originated from a question of Ulam 1 concerning the stability of group ...unbounded Cauchy difference. A generalization of the ...unbounded Cauchy difference by a general ... See full document
8
Extensions of interpolation between the arithmetic geometric mean inequality for matrices
... Audenaert results is presented in this paper to the operator norm and so are some interpolations for an arbitrary unitarily invariant ...the Cauchy-Schwarz in- equality for the operator and ... See full document
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Approximate Cauchy functional inequality in quasi Banach spaces
... unbounded Cauchy difference. In 1978, Rassias [5] also provided a generalization of Hyers’ theorem for linear mappings which allows the Cauchy difference to be unbounded like this ||x|| p + ||y|| p ... See full document
11
Cauchy-Schwartz Functionals
... this inequality, as well as results connected with it, are given in the book of Mitrinovi´c, Peˇcari´c and Fink [10, Chapter 4] along with further ... See full document
15
Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
... the Cauchy-Schwarz inequality (3) is the mathematical foundation of the Heisenberg uncertainty relation ...generalized Cauchy-Schwarz inequality for multiple vectors, and ... See full document
6
Generalization of an Inequality for Integral Transforms with Kernel and Related Results
... a generalization of the inequality introduced by Mitrinovi´c and Peˇcari´c in ...of Cauchy type for that new inequality by taking its ...the inequality which implies the exponential ... See full document
17
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
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A Generalization of the Cauchy-Schwarz Inequality with Four Free Parameters and Applications
... the Cauchy-Schwarz ...for inequality (1.1). For this purpose, first the following inequality should be considered, which is directly provable via some algebraic ... See full document
11
Refinements of the Cauchy-Bunyakovsky-Schwarz Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... and we call it the continuous functional calculus for a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f ... See full document
12
A Note on Lyapunov-type Inequalities for Class Offractional Differential Equations
... a Cauchy-Schwarz-type inequality for a fractional boundaryvalue problem of order 𝛼 for 𝛼 ∈ (3, ...and Cauchy-Schwarz-type inequalities. We showed that the Cauchy- Schwarz- ... See full document
5
Generalizations of Cauchy Schwarz inequality in unitary spaces
... The Cauchy-Schwarz inequality is one of the most important inequalities in mathemat- ...the Cauchy-Schwarz inequality ... See full document
6
On Some Inequalities of Cauchy-Bunyakovsky-Schwarz Type and Applications
... Some discrete inequalities of Cauchy-Bunyakovsky-Schwarz type for complex numbers with applications for the maximal deviation of a sequence from its weighted mean are given1. Cauchy-Buny[r] ... See full document
10
Norm inequalities for operators related to the Cauchy Schwarz and Heinz inequalities
... invariant norm, A, B, X ∈ B(H) with A, B positive, X ∈ τ · , and r > . By the convexity of f we have f ( v+ ) ≤ {f ( v+ ) + f ( v+ )} and {f (v) + f ( v+ ) + f ( )} ≤ {f (v) + f ( ... See full document
10
Geometric Flows of Diffeomorphisms
... handle more general settings (higher dimension, arbitrary curvature, ...be more fruitful in general is to use the linearized stability principle: under mild assumptions, a stationary point of a nonlinear ... See full document
135
Additive functional inequalities in 2 Banach spaces
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 2, ... See full document
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