Inequalities and Applications

Part I. Inequalities Related to Ordinary and Partial Differential Equations

1. A Rayleigh-Faber-Krahn Inequality and Some Monotonicity Properties for Eigenvalue Problems with Mixed Boundary Conditions
Catherine Bandle

2. Lower and Upper Bounds for Sloshing Frequencies
Henning Behnke

3. On Spectral Bounds for Photonic Crystal Waveguides
B. Malcolm Brown, Vu Hoang, Michael Plum, Ian G. Wood

4. Real Integrability Conditions for the Nonuniform Exponential Stability of Evolution Families on Banach Spaces
Constantin Buse

5. Validated Computations for Fundamental Solutions of Linear Ordinary Differential Equations
Kaori Nagatou

Part II. Integral Inequalities

6. Equivalence of Modular Inequalities of Hardy Type on Non-negative Respective Non-increasing Functions
Sorina Barza, Lars-Erik Persson

7. Some One Variable Weighted Norm Inequalities and Their Applications to Sturm-Liouville and Other Differential Operators
Richard C. Brown, Don B. Hinton

8. Bounding the Gini Mean Difference
Pietro Cerone

9. On Some Integral Inequalities
Bogdan Gavrea

10. A New Characterization of the Hardy and Its Limit Pólya-Knopp Inequality for Decreasing Functions
Maria Johansson

11. Euler-Grüss Type Inequalities Involving Measures
Ambroz Civljak, Ljuban Dedic, Marko Matic

12. The ?-quasiconcave Functions and Weighted Inequalities
William Desmond Evans, Amiran Gogatishvili, Bohumír Opic

Part III. Inequalities for Operators

13. Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
Silvestru S. Dragomir

14. Norm Inequalities for Commutators of Normal Operators
Fuad Kittaneh

15. Uniformly Continuous Superposition Operators in the Spaces of Differentiable Functions and Absolutely Continuous Functions
Janusz Matkowski

16. Tight Enclosures of Solutions of Linear Systems
Takeshi Ogita, Shin’ichi Oishi

Part IV. Inequalities in Approximation Theory

17. Operators of Bernstein-Stancu Type and the Monotonicity of Some Sequences Involving Convex Functions
Ioan Gavrea

18. Inequalities Involving the Superdense Unbounded Divergence of Some Approximation Processes
Alexandru Ioan Mitrea, Paulina Mitrea

19. An Overview of Absolute Continuity and Its Applications
Constantin P. Niculescu

Part V. Generalizations of Convexity and Inequalities for Means

20. Normalized Jensen Functional, Superquadracity and Related Inequalities
Shoshana Abramovich, Silvestru S. Dragomir

21. Comparability of Certain Homogeneous Means
Pál Burai

22. On Some General Inequalities Related to Jensen’s Inequality
Milica Klaricic Bakula, Marko Matic, Josip Pecaric

23. Schur-Convexity, Gamma Functions, and Moments
Albert W. Marshall, Ingram Olkin

24. A Characterization of Nonconvexity and Its Applications in the Theory of Quasi-arithmetic Means
Zoltán Daróczy, Zsolt Páles

25. Approximately Midconvex Functions
Jacek Mrowiec, Jacek Tabor, Józef Tabor

Part VI. Inequalities, Stability, and Functional Equations

26. Sandwich Theorems for Orthogonally Additive Functions
Wlodzimierz Fechner, Justyna Sikorska

27. On Vector Pexider Differences Controlled by Scalar Ones
Roman Ger

28. A Characterization of the Exponential Distribution through Functional Equations
Gyula Maksa, Fruzsina Mészáros

29. Approximate Solutions of the Linear Equation
Dorian Popa

30. On a Functional Equation Containing Weighted Arithmetic Means
Adrienn Varga, Csaba Vincze

Keywords: MATHEMATICS / General MAT000000