Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 13

In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard,...

q -integral inequalities | Hölder’s inequality | Analysis | Ostrowski’s inequality | Mathematics, general | Grüss-Čebyšev integral inequality | Mathematics | Hermite-Hadamard’s inequality | Applications of Mathematics | Hermite-Hadamard's inequality | Hölder's inequality | Q-integral inequalities | Grüss-?Cebyŝev integral inequality | Ostrowski's inequality | Gruss-Cebysev integral inequality | MATHEMATICS | MATHEMATICS, APPLIED | q-integral inequalities | Holder's inequality | Intervals | Trapezoids | Calculus | Integrals | Mathematical analysis | Inequalities

q -integral inequalities | Hölder’s inequality | Analysis | Ostrowski’s inequality | Mathematics, general | Grüss-Čebyšev integral inequality | Mathematics | Hermite-Hadamard’s inequality | Applications of Mathematics | Hermite-Hadamard's inequality | Hölder's inequality | Q-integral inequalities | Grüss-?Cebyŝev integral inequality | Ostrowski's inequality | Gruss-Cebysev integral inequality | MATHEMATICS | MATHEMATICS, APPLIED | q-integral inequalities | Holder's inequality | Intervals | Trapezoids | Calculus | Integrals | Mathematical analysis | Inequalities

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 07/2011, Volume 56, Issue 7, pp. 1660 - 1665

The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Grüss...

Symmetric matrices | Conservatism | Grüss inequality | Linear matrix inequalities | Delay | fragmentation | sampled-data systems | Convergence | Upper bound | Jensen's inequality | time-delay systems | Integral equations | Convex functions | Gruss inequality | STABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Electronic data processing | Usage | Numerical analysis | Innovations | Delay lines | Methods | Nonuniform | Equivalence | Partitioning | Inequalities | Automatic control | Empirical analysis | Fragmentation | Computational Mathematics | Optimeringslära, systemteori | Mathematics | Optimization, systems theory | Tillämpad matematik | Naturvetenskap | Applied mathematics | Natural Sciences | Beräkningsmatematik | Matematik

Symmetric matrices | Conservatism | Grüss inequality | Linear matrix inequalities | Delay | fragmentation | sampled-data systems | Convergence | Upper bound | Jensen's inequality | time-delay systems | Integral equations | Convex functions | Gruss inequality | STABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Electronic data processing | Usage | Numerical analysis | Innovations | Delay lines | Methods | Nonuniform | Equivalence | Partitioning | Inequalities | Automatic control | Empirical analysis | Fragmentation | Computational Mathematics | Optimeringslära, systemteori | Mathematics | Optimization, systems theory | Tillämpad matematik | Naturvetenskap | Applied mathematics | Natural Sciences | Beräkningsmatematik | Matematik

Journal Article

2011, Series on concrete and applicable mathematics, ISBN 9814317624, Volume 11, xii, 410

Book

International Journal of Approximate Reasoning, ISSN 0888-613X, 2008, Volume 48, Issue 3, pp. 829 - 835

A Chebyshev type inequality for Sugeno integral is shown. Previous results of Flores-Franulič and Román-Flores [A. Flores-Franulič, H. Román-Flores, A...

Monotone function | Stolarsky’s inequality | Chebyshev’s inequality | Sugeno integral | Chebyshev's inequality | Stolarsky's inequality | INTEGRALS | GRUSS TYPE INEQUALITIES | monotone function | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Monotone function | Stolarsky’s inequality | Chebyshev’s inequality | Sugeno integral | Chebyshev's inequality | Stolarsky's inequality | INTEGRALS | GRUSS TYPE INEQUALITIES | monotone function | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 18

The aim of this presentation is to show several integral inequalities. Among these inequalities we have the inequality , where denotes the h-variance of f,...

Grüss type inequality | h -variance | Analysis | h -covariance | Mathematics, general | Mathematics | Applications of Mathematics | H-variance | H-covariance | MATHEMATICS | MATHEMATICS, APPLIED | Gruss type inequality | h-variance | h-covariance | BOUNDS

Grüss type inequality | h -variance | Analysis | h -covariance | Mathematics, general | Mathematics | Applications of Mathematics | H-variance | H-covariance | MATHEMATICS | MATHEMATICS, APPLIED | Gruss type inequality | h-variance | h-covariance | BOUNDS

Journal Article

Annals of Functional Analysis, ISSN 2008-8752, 2017, Volume 8, Issue 1, pp. 124 - 132

In 2001, Renaud obtained a Gruss type operator inequality involving the usual trace functional. In this article, we give a refinement of that result, and we...

Trace inequality | Grüss inequality | Distance formula | Variance | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | distance formula | variance | trace inequality

Trace inequality | Grüss inequality | Distance formula | Variance | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | distance formula | variance | trace inequality

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2009, Volume 58, Issue 6, pp. 1207 - 1210

We derive a new inequality of Ostrowski–Grüss type on time scales by using the Grüss inequality on time scales and thus unify corresponding continuous and...

Ostrowski–Grüss inequality | Grüss inequality | Time scales | Ostrowski inequality | Ostrowski-Grüss inequality | Gruss inequality | IMPROVEMENT | MATHEMATICS, APPLIED | Ostrowski-Gruss inequality | Equality

Ostrowski–Grüss inequality | Grüss inequality | Time scales | Ostrowski inequality | Ostrowski-Grüss inequality | Gruss inequality | IMPROVEMENT | MATHEMATICS, APPLIED | Ostrowski-Gruss inequality | Equality

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 12

Two Ostrowski-Grüss type inequalities for k points with a parameter λ ∈ [ 0 , 1 ] $\lambda\in[0, 1]$ are hereby presented. The first generalizes a recent...

54C30 | Montgomery identity | time scales | Grüss inequality | 26D10 | Analysis | Ostrowski’s inequality | Mathematics, general | k points | Mathematics | Applications of Mathematics | 6D15 | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHTED OSTROWSKI | Ostrowski's inequality | Inequalities | Research

54C30 | Montgomery identity | time scales | Grüss inequality | 26D10 | Analysis | Ostrowski’s inequality | Mathematics, general | k points | Mathematics | Applications of Mathematics | 6D15 | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHTED OSTROWSKI | Ostrowski's inequality | Inequalities | Research

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 7

We give a discrete Grüss type inequality on fractional calculus.

34A25 | 26D20 | 39A12 | discrete fractional calculus | discrete Grüss inequality | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | INNER-PRODUCT SPACES | discrete Gruss inequality

34A25 | 26D20 | 39A12 | discrete fractional calculus | discrete Grüss inequality | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | INNER-PRODUCT SPACES | discrete Gruss inequality

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2014, Volume 2014, Issue 1, pp. 16 - 16

In this paper we prove a version of Gruss' integral inequality for mappings with values in Hilbert C*-modules. Some applications for such functions are also...

Hilbert C-modules | Bochner integral | Landau-type inequality | Grüss inequality | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED

Hilbert C-modules | Bochner integral | Landau-type inequality | Grüss inequality | Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Mathematical Problems in Engineering, ISSN 1024-123X, 1/2019, Volume 2019, pp. 1 - 12

Inspired by the work of Zhefei He and Mingjin Wang which was published in the Journal of Inequalities and Applications in 2015, this paper further generalizes...

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | GRUSS TYPE INEQUALITIES | ENGINEERING, MULTIDISCIPLINARY | WEIGHTED OSTROWSKI | Covariance | Applied mathematics | Statistical distributions | Monographs | Dependence | Probability | Concrete | Random variables | Estimates

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | GRUSS TYPE INEQUALITIES | ENGINEERING, MULTIDISCIPLINARY | WEIGHTED OSTROWSKI | Covariance | Applied mathematics | Statistical distributions | Monographs | Dependence | Probability | Concrete | Random variables | Estimates

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2012, Volume 2012, Issue 1, pp. 1 - 15

In this paper, we employ a fractional q-integral on the specific time scale, , where and , to establish some new fractional q-integral Grüss-type inequalities...

Analysis | fractional q -integral | Mathematics, general | Mathematics | integral inequalities | Applications of Mathematics | Grüss-type inequalities | Integral inequalities | Fractional q-integral | MATHEMATICS | fractional q-integral | MATHEMATICS, APPLIED | Gruss-type inequalities | DERIVATIVES

Analysis | fractional q -integral | Mathematics, general | Mathematics | integral inequalities | Applications of Mathematics | Grüss-type inequalities | Integral inequalities | Fractional q-integral | MATHEMATICS | fractional q-integral | MATHEMATICS, APPLIED | Gruss-type inequalities | DERIVATIVES

Journal Article

Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 16, pp. 5719 - 5733

Journal Article

Advances in Difference Equations, ISSN 1687-1847, 12/2019, Volume 2019, Issue 1, pp. 1 - 14

Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements...

05A30 | 26D10 | 26A33 | Mathematics | Minkowski inequalities | Generalized proportional fractional integral operator | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | Inequality | MATHEMATICS | MATHEMATICS, APPLIED | DERIVATIVES | GRUSS TYPE | Operators (mathematics) | Exponential functions | Derivatives | Integrals | Fractional calculus | Inequalities

05A30 | 26D10 | 26A33 | Mathematics | Minkowski inequalities | Generalized proportional fractional integral operator | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | Inequality | MATHEMATICS | MATHEMATICS, APPLIED | DERIVATIVES | GRUSS TYPE | Operators (mathematics) | Exponential functions | Derivatives | Integrals | Fractional calculus | Inequalities

Journal Article

15.
Full Text
Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results

Quaestiones Mathematicae, ISSN 1607-3606, 2019, Volume 43, Issue 3, pp. 293 - 307

Journal Article

Information Sciences, ISSN 0020-0255, 07/2013, Volume 236, pp. 168 - 173

► The concepts of Choquet-like expectations are discussed. ► We obtain generalizations of the Chebyshev-type inequality for Choquet-like expectation. ► Some...

Pseudo-additive integral | Pseudo-additive measure | Chebyshev’s inequality | Choquet-like expectation | Chebyshev's inequality | INTEGRALS | GRUSS TYPE INEQUALITIES | COMPUTER SCIENCE, INFORMATION SYSTEMS | Universities and colleges | Equality

Pseudo-additive integral | Pseudo-additive measure | Chebyshev’s inequality | Choquet-like expectation | Chebyshev's inequality | INTEGRALS | GRUSS TYPE INEQUALITIES | COMPUTER SCIENCE, INFORMATION SYSTEMS | Universities and colleges | Equality

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 9

Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the...

nabla discrete Grüss inequality | Mathematics, general | Mathematics | Applications of Mathematics | nabla discrete fractional calculus | Analysis | Nabla discrete fractional calculus | Nabla discrete Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | nabla discrete Gruss inequality

nabla discrete Grüss inequality | Mathematics, general | Mathematics | Applications of Mathematics | nabla discrete fractional calculus | Analysis | Nabla discrete fractional calculus | Nabla discrete Gruss inequality | MATHEMATICS | MATHEMATICS, APPLIED | nabla discrete Gruss inequality

Journal Article

Journal of Operator Theory, ISSN 0379-4024, 2015, Volume 73, Issue 1, pp. 265 - 278

Assuming a unitarily invariant norm parallel to . parallel to is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it...

Operator inequality | Grüss inequality | Matrix unitarily invariant norm | Completely positive map | Singular value | C-algebra | Gruss inequality | MATHEMATICS | ALGEBRAS | MODULES | NORM | completely positive map | matrix unitarily invariant norm | singular value

Operator inequality | Grüss inequality | Matrix unitarily invariant norm | Completely positive map | Singular value | C-algebra | Gruss inequality | MATHEMATICS | ALGEBRAS | MODULES | NORM | completely positive map | matrix unitarily invariant norm | singular value

Journal Article

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 18

In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ\(_{\theta...

Operators (mathematics) | Mathematical functions | Integrals | Finite differences | Inequalities | Hahn integral operator | Hermite–Hadamard quantum Hahn integral inequality | Grüss–C̆ebyšev type fractional Hahn integral inequality | Hahn difference operator | Hahn difference inequalities | Pólya–Szegö type fractional Hahn integral inequalities

Operators (mathematics) | Mathematical functions | Integrals | Finite differences | Inequalities | Hahn integral operator | Hermite–Hadamard quantum Hahn integral inequality | Grüss–C̆ebyšev type fractional Hahn integral inequality | Hahn difference operator | Hahn difference inequalities | Pólya–Szegö type fractional Hahn integral inequalities

Journal Article

20.
Full Text
Certain inequalities via generalized proportional Hadamard fractional integral operators

Advances in Difference Equations, ISSN 1687-1847, 12/2019, Volume 2019, Issue 1, pp. 1 - 10

In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the...

26D53 | 05A30 | 26D10 | 26A33 | Mathematics | Fractional integrals | Ordinary Differential Equations | Functional Analysis | Analysis | Inequalities | Difference and Functional Equations | Mathematics, general | Generalized proportional Hadamard fractional integrals | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | DERIVATIVES | GRUSS TYPE | Operators (mathematics) | Integrals

26D53 | 05A30 | 26D10 | 26A33 | Mathematics | Fractional integrals | Ordinary Differential Equations | Functional Analysis | Analysis | Inequalities | Difference and Functional Equations | Mathematics, general | Generalized proportional Hadamard fractional integrals | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | DERIVATIVES | GRUSS TYPE | Operators (mathematics) | Integrals

Journal Article

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