1998, ISBN 0387984046, viii, 150

We might wonder why it is necessary to study inequalities. Many applied science and engineering problems, for instance, can be pursued without their explicit mention...

Inequalities (Mathematics) | Engineering mathematics | Global analysis (Mathematics) | Analysis

Inequalities (Mathematics) | Engineering mathematics | Global analysis (Mathematics) | Analysis

Book

Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 12

In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals...

convex function | fractional derivative | special mean | fractional integral | Hermite-Hadamard inequality | trapezoidal formula | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | CONVEX-FUNCTIONS | HADAMARD-TYPE INEQUALITIES | Error analysis | Real numbers | Integrals | Inequalities | 26A51 | 26A33 | Research | 26D15

convex function | fractional derivative | special mean | fractional integral | Hermite-Hadamard inequality | trapezoidal formula | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | CONVEX-FUNCTIONS | HADAMARD-TYPE INEQUALITIES | Error analysis | Real numbers | Integrals | Inequalities | 26A51 | 26A33 | Research | 26D15

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 583 - 613

Let $$\left| {\left| {\cdot }\right| }\right| _\Phi $$ · Φ be a unitarily invariant norm related to a symmetrically norming (s.n.) function $$\Phi $$ Φ ,...

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Concave function | Non-commutative Clarkson inequalities | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | Circulant block operator matrix | 47B15 | Analysis | Mathematics, general | Convex function | Finite Fourier transform | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED

Primary 47A30 | 47B10 | 46B20 | Mathematics | 47A60 | Concave function | Non-commutative Clarkson inequalities | Operator Theory | Unitarily invariant norm | Secondary 47A65 | 15A57 | Circulant block operator matrix | 47B15 | Analysis | Mathematics, general | Convex function | Finite Fourier transform | 15A60 | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2018, Volume 370, Issue 6, pp. 4351 - 4372

We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies...

Convex bodies | Sections | Volume difference inequalities | Intersection bodies | Isotropic convex body | Busemann-Petty problem | Projections | Shephard problem | projections | CONVEX-BODIES | BUSEMANN-PETTY | STABILITY | sections | MATHEMATICS | isotropic convex body | volume difference inequalities | intersection bodies | SLICING INEQUALITIES

Convex bodies | Sections | Volume difference inequalities | Intersection bodies | Isotropic convex body | Busemann-Petty problem | Projections | Shephard problem | projections | CONVEX-BODIES | BUSEMANN-PETTY | STABILITY | sections | MATHEMATICS | isotropic convex body | volume difference inequalities | intersection bodies | SLICING INEQUALITIES

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 20

In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions...

positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research

positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research

Journal Article

Archiv der Mathematik, ISSN 1420-8938, 2018, Volume 112, Issue 3, pp. 293 - 304

... of the Bollobás–Thomason inequality: if K is a convex body in $${\mathbb {R}}^n$$ R n with $$0\in \mathrm{int}(K)$$ 0 ∈ int ( K ) and $$(\sigma _1,\ldots ,\sigma _r)$$ ( σ 1 , … , σ r ) is an s-uniform cover...

46B06 | Loomis–Whitney inequality | 52A40 | Convex bodies | Primary 52A20 | Secondary 52A23 | Mathematics, general | Uniform cover inequality | Mathematics | Volume of projections and sections | MATHEMATICS | Loomis-Whitney inequality | VOLUME | SECTIONS | PROJECTIONS | Equality

46B06 | Loomis–Whitney inequality | 52A40 | Convex bodies | Primary 52A20 | Secondary 52A23 | Mathematics, general | Uniform cover inequality | Mathematics | Volume of projections and sections | MATHEMATICS | Loomis-Whitney inequality | VOLUME | SECTIONS | PROJECTIONS | Equality

Journal Article

Bulletin of the Korean Mathematical Society, ISSN 1015-8634, 2015, Volume 52, Issue 3, pp. 707 - 716

Some Hermite-Hadamard type inequalities for the fractional integrals are established and these results have some relationship with the obtained results of [11...

Riemann-Liouville fractional integration | Convex functions | Hermite–Hadamard’s inequality | Power-mean inequality | MATHEMATICS | Hermite-Hadamard's inequality | MIDPOINT FORMULA | convex functions | DIFFERENTIABLE MAPPINGS | power-mean inequality | REAL NUMBERS

Riemann-Liouville fractional integration | Convex functions | Hermite–Hadamard’s inequality | Power-mean inequality | MATHEMATICS | Hermite-Hadamard's inequality | MIDPOINT FORMULA | convex functions | DIFFERENTIABLE MAPPINGS | power-mean inequality | REAL NUMBERS

Journal Article

Advances in nonlinear analysis, ISSN 2191-950X, 2019, Volume 9, Issue 1, pp. 168 - 175

An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality...

HLPK inequality | convex-concave map | 26D10 | Majorization | gradient | directional derivative | convex function | Sherman inequality | 26B25 | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | 26d10 | majorization | 26b25 | hlpk inequality | sherman inequality | 26d15

HLPK inequality | convex-concave map | 26D10 | Majorization | gradient | directional derivative | convex function | Sherman inequality | 26B25 | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | 26d10 | majorization | 26b25 | hlpk inequality | sherman inequality | 26d15

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 01/2017, Volume 293, pp. 358 - 369

.... Using this integral identity, this paper establishes new inequalities of Simpson type for extended (s, m...

Simpson’s inequality | (s, m)-Convex function | Hölder’s inequality | Simpson's inequality | Hölder's inequality | MATHEMATICS, APPLIED | Holder's inequality | REAL NUMBERS | Equality

Simpson’s inequality | (s, m)-Convex function | Hölder’s inequality | Simpson's inequality | Hölder's inequality | MATHEMATICS, APPLIED | Holder's inequality | REAL NUMBERS | Equality

Journal Article

IEEE transactions on automatic control, ISSN 1558-2523, 2018, Volume 63, Issue 8, pp. 2670 - 2677

In this note, a distributed subgradient-based algorithm is proposed for continuous-time multi-agent systems to search a feasible solution to convex inequalities...

convex inequalities | distributed optimization | Heuristic algorithms | Signal processing algorithms | Linear programming | Mathematical model | multi-agent system (MAS) | Distributed algorithms | Optimization | Consensus | Multi-agent systems | MULTIAGENT SYSTEMS | CONTINUOUS-TIME CONSENSUS | OPTIMIZATION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Multiagent systems | Algorithms | Computer simulation | Inequalities

convex inequalities | distributed optimization | Heuristic algorithms | Signal processing algorithms | Linear programming | Mathematical model | multi-agent system (MAS) | Distributed algorithms | Optimization | Consensus | Multi-agent systems | MULTIAGENT SYSTEMS | CONTINUOUS-TIME CONSENSUS | OPTIMIZATION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Multiagent systems | Algorithms | Computer simulation | Inequalities

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 05/2015, Volume 259, pp. 875 - 881

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex...

Convex function | Hermite–Hadamard inequality | Hermite–Hadamard–Fejér inequality | Riemann–Liouville fractional integral | Hermite-Hadamard inequality | Riemann-Liouville fractional integral | Hermite-Hadamard-Fejér inequality | Hermite-Hadamard-Fejer inequality | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS

Convex function | Hermite–Hadamard inequality | Hermite–Hadamard–Fejér inequality | Riemann–Liouville fractional integral | Hermite-Hadamard inequality | Riemann-Liouville fractional integral | Hermite-Hadamard-Fejér inequality | Hermite-Hadamard-Fejer inequality | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 12/2012, Volume 58, Issue 12, pp. 7086 - 7093

We present a set of high-probability inequalities that control the concentration of weighted averages of multiple...

Learning systems | Hoeffding-Azuma's inequality | Bernstein's inequality | Bayesian methods | martingales | Entropy | Convex functions | Random variables | PAC-Bayesian bounds | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Martingales (Mathematics) | Difference equations | Innovations | Distribution (Probability theory) | Information theory | Learning | Interactive | Inequalities | Reinforcement | Learning theory | Sampling | Statistics | Martingales

Learning systems | Hoeffding-Azuma's inequality | Bernstein's inequality | Bayesian methods | martingales | Entropy | Convex functions | Random variables | PAC-Bayesian bounds | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Martingales (Mathematics) | Difference equations | Innovations | Distribution (Probability theory) | Information theory | Learning | Interactive | Inequalities | Reinforcement | Learning theory | Sampling | Statistics | Martingales

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 60, Issue 8, pp. 2191 - 2199

In this paper, we establish some new inequalities of Simpson’s type based on s -convexity...

Simpson’s inequality | [formula omitted]-convex function | s-convex function | Simpson's inequality | MATHEMATICS, APPLIED

Simpson’s inequality | [formula omitted]-convex function | s-convex function | Simpson's inequality | MATHEMATICS, APPLIED

Journal Article

1988, ISBN 3540136150, xiv, 331

Book

Applied mathematics and computation, ISSN 0096-3003, 2014, Volume 238, pp. 237 - 244

In this paper, the authors established Hermite–Hadamard’s inequalities for harmonically convex functions via fractional integrals and obtained some Hermite...

Harmonically convex function | Fractional integrals | Hermite–Hadamard type inequality | Hermite-Hadamard type inequality | MATHEMATICS, APPLIED | Mathematical models | Computation | Integrals | Mathematical analysis | Inequalities

Harmonically convex function | Fractional integrals | Hermite–Hadamard type inequality | Hermite-Hadamard type inequality | MATHEMATICS, APPLIED | Mathematical models | Computation | Integrals | Mathematical analysis | Inequalities

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 15

In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite...

Green’s function | Analysis | Mathematics, general | convex function | Mathematics | Hermite–Hadamard inequality | Applications of Mathematics | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | Hermite-Hadamard inequality | DIFFERENTIABLE MAPPINGS | Green's function | CONVEX-FUNCTIONS | Monotone functions | Inequalities | Research

Green’s function | Analysis | Mathematics, general | convex function | Mathematics | Hermite–Hadamard inequality | Applications of Mathematics | 26D15 | MATHEMATICS | MATHEMATICS, APPLIED | Hermite-Hadamard inequality | DIFFERENTIABLE MAPPINGS | Green's function | CONVEX-FUNCTIONS | Monotone functions | Inequalities | Research

Journal Article

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

In the paper, the authors give some inequalities of Jensen type and Popoviciu type for -convex functions and apply these inequalities to special means. MSC...

Popoviciu inequality | Analysis | Mathematics, general | convex function | Mathematics | Applications of Mathematics | Jensen inequality | (h,m)-convex function | Convex function | (h, m)-convex function | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities

Popoviciu inequality | Analysis | Mathematics, general | convex function | Mathematics | Applications of Mathematics | Jensen inequality | (h,m)-convex function | Convex function | (h, m)-convex function | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 20

.... By using the concept of ( h , m ) $(h,m)$ -convexity, ( α , m ) $(\alpha,m)$ -convexity and the obtained equation, some new trapezium-like integral inequalities are established...

41A55 | ( h , m ) $(h,m)$ -convex functions | ( α , m ) $(\alpha,m)$ -convex functions | 26A51 | k -fractional integrals | 26D20 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | k-fractional integrals | (h, m) -convex functions | (α, m) -convex functions | MATHEMATICS | PREINVEX FUNCTIONS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | QUASI-CONVEX | (alpha, m)-convex functions | CONVEX-FUNCTIONS | (h, m)-convex functions | S-CONVEX | DERIVATIVES | HERMITE-HADAMARD INEQUALITIES | Integrals | Inequalities | Convexity

41A55 | ( h , m ) $(h,m)$ -convex functions | ( α , m ) $(\alpha,m)$ -convex functions | 26A51 | k -fractional integrals | 26D20 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | 26D07 | k-fractional integrals | (h, m) -convex functions | (α, m) -convex functions | MATHEMATICS | PREINVEX FUNCTIONS | MATHEMATICS, APPLIED | DIFFERENTIABLE MAPPINGS | QUASI-CONVEX | (alpha, m)-convex functions | CONVEX-FUNCTIONS | (h, m)-convex functions | S-CONVEX | DERIVATIVES | HERMITE-HADAMARD INEQUALITIES | Integrals | Inequalities | Convexity

Journal Article

Numerical algorithms, ISSN 1572-9265, 2011, Volume 59, Issue 2, pp. 301 - 323

We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a...

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FEASIBILITY PROBLEM | CONVEX-SETS | CQ ALGORITHM | PROJECTION | THEOREMS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | OPERATORS | Censorship | Equality

Numeric Computing | Variational inequality problem | Iterative method | Theory of Computation | Monotone operator | Product space | Split variational inequality problem | Metric projection | Algebra | Algorithms | Computer Science | Split inverse problem | Inverse strongly monotone operator | Mathematics, general | Hilbert space | Constrained variational inequality problem | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FEASIBILITY PROBLEM | CONVEX-SETS | CQ ALGORITHM | PROJECTION | THEOREMS | WEAK-CONVERGENCE | EXTRAGRADIENT METHOD | OPERATORS | Censorship | Equality

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 16

.... Moreover, we establish the corresponding Schur, Jensen, and Hadamard types of inequalities...

Jensen-type inequality | Schur-type inequality | Analysis | Mathematics, general | convex function | Mathematics | Applications of Mathematics | Hadamard-type inequality | (P, H)-Convex function | MATHEMATICS | MATHEMATICS, APPLIED | (p, h)-convex function

Jensen-type inequality | Schur-type inequality | Analysis | Mathematics, general | convex function | Mathematics | Applications of Mathematics | Hadamard-type inequality | (P, H)-Convex function | MATHEMATICS | MATHEMATICS, APPLIED | (p, h)-convex function

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.