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Čebyšev functional

New Bounds for the Čebyšev Functional

New Bounds for the Čebyšev Functional

... Over the last five years, the development of Gr¨ uss type inequalities has experi- enced a surge, having been stimulated by their applications in different branches of Applied Mathematic[r] ...

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Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces

Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces

... 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 2 Sp (A) implies that f (A) 0; i:e: f (A) is ...

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Bounds for the Čebyšev Functional of a Convex and a Bounded Function

Bounds for the Čebyšev Functional of a Convex and a Bounded Function

... School of Computer Science and Mathematics, Victoria University of Technology, PO Box 14428, Melbourne 8001, Victoria, Australia. E-mail address: Sever.Dragomir@vu.edu.au[r] ...

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New Inequalities for the Čebyšev Functional Involving Two n-Tuples of Real Numbers and Applications

New Inequalities for the Čebyšev Functional Involving Two n-Tuples of Real Numbers and Applications

... (2000), On a Gr¨ uss- Lupa¸ s type inequality and its application for the es- timation of p − moments of guessing mappings, Math.. (2002), Another Gr¨ uss type inequality for sequences o[r] ...

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Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications

Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications

... The main aim of the present paper is to provide other bounds for the µ Cebyšev functional T (f; g; u) by utilising the Beesack inequality (1.1). Applications for three point quadrature rules of functions that are ...

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Some Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces

Some Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces

... 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 2 Sp (A) implies that f (A) 0; i:e: f (A) is ...

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Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications

Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications

... Some new inequalities for the ˇ Cebyˇ sev functional in terms of the first derivative and applications for Taylor’s expansion and generalised trape- zoid formula are pointed out.. Cebyˇ [r] ...

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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

... The aim of the present paper is to establish a new sharp bound for the absolute value of the ˇ Cebyˇ sev functional (1.1). Applications for the trapezoid and mid-point inequality are pointed out. A general ...

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Bounding the Čebyšev Functional for Sequences of Vectors in Normed Linear Spaces

Bounding the Čebyšev Functional for Sequences of Vectors in Normed Linear Spaces

... Using H¨ older’s inequality, we deduce the desired result (3. The following corollary for the uniform distribution of the probability p holds.. 3) are sharp in the sense that the constan[r] ...

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Integral Inequalities and Applications for Bounding the Čebyšev Functional

Integral Inequalities and Applications for Bounding the Čebyšev Functional

... FINK, Inequalities Involving Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1991.. [10] D.S.[r] ...

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Identifying Useful Data Dependency Using Agree Set form Relational Database

Identifying Useful Data Dependency Using Agree Set form Relational Database

... In 2015 Thorsten Papenbrock & Jens Ehrlich proposed “Functional Dependency Discovery: An Experimental Evaluation of Seven Algorithms”. They describe, evaluate, and compare the seven most cited and most ...

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Discovering Valuable Relationships in RDBMS Using Complements of Maximal Set

Discovering Valuable Relationships in RDBMS Using Complements of Maximal Set

... representation. Functional dependency is a kind of data ...conditional functional dependencies (CFDs) has also seen some ...representation. Functional dependency is a kind of data ...

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Outcome of Alarm Symptoms and Colonoscopy in Functional Bowel Disorders and Functional Abdominal Pain Syndrome.

Outcome of Alarm Symptoms and Colonoscopy in Functional Bowel Disorders and Functional Abdominal Pain Syndrome.

... The combination of abdominal pain with intermittent diarrhea and constipation is highly suggestive of IBS, and small-volume, frequent defecation is likely functional. Pseudodiarrhea (frequent defecation and ...

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Functional gastrointestinal diseases and psychological maladjustment, personality traits and quality of life

Functional gastrointestinal diseases and psychological maladjustment, personality traits and quality of life

... Similar to our study, previous adult studies have also reported more negative self-esteem [10] and aggression [7] in adults with functional gastrointestinal disorders. Other abnormalities observed in personality ...

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Unexpected high vulnerability of functions in wilderness areas:evidence from coral reef fishes

Unexpected high vulnerability of functions in wilderness areas:evidence from coral reef fishes

... The levels of functional redundancy in terms of species richness and Shannon entropy across functional entities for the three regions.. Distribution of functional entities in percentage [r] ...

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Functional equations and inequalities in paranormed spaces

Functional equations and inequalities in paranormed spaces

... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group homomorphisms. Hyers [] gave the first affirmative partial answer to the question of Ulam for ...

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Generalized Ulam - Hyers Stability of on (AQQ): Additive - Quadratic - Quartic  Functional Equation

Generalized Ulam - Hyers Stability of on (AQQ): Additive - Quadratic - Quartic Functional Equation

... Keywords: Additive functional equations, Quadratic functional equations, Quartic functional equations, Mixed type functional equations, Ulam - Hyers stability, Ulam - Hyers - Rassias sta[r] ...

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Simulating shifts in taxonomic and functional β diversity of ray finned fishes : probing the Mariana disaster

Simulating shifts in taxonomic and functional β diversity of ray finned fishes : probing the Mariana disaster

... Disturbances are analysed mainly at the level of populations (Melo et al., 2011; Ricklefs, 2008), but little is known about how these changes rebound at the level of communities and among communities, as explored here. ...

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Quality of life and health care consultation in 13 to 18 year olds with abdominal pain predominant functional gastrointestinal diseases

Quality of life and health care consultation in 13 to 18 year olds with abdominal pain predominant functional gastrointestinal diseases

... This study has assessed HRQoL and healthcare consult- ation in Sri Lankan teenagers aged 13 to 18 years with abdominal pain predominant functional gastrointestinal diseases. Children with AP-FGD have significantly ...

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Habitat degradation increases functional originality in highly diverse coral reef fish assemblages

Habitat degradation increases functional originality in highly diverse coral reef fish assemblages

... species. Functional redundancy, or the presence of several different species occupying similar functional niches, can provide insurance against diversity loss, but evidence for this effect is ...which ...

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