# Frontiers in Time Scales and Inequalities

@inproceedings{Anastassiou2015FrontiersIT, title={Frontiers in Time Scales and Inequalities}, author={George A. Anastassiou}, year={2015} }

This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Gruss type and comparison of means inequalities, all these over time scales. The…

## 6 Citations

### Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function

- MathematicsJournal of Mathematical Inequalities
- 2017

We prove generalized weighted Ostrowski and Ostrowski--Gruss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett.…

### A Generalized Gronwall Inequality for Caputo Fractional Dynamic Delta Operator

- MathematicsProgress in Fractional Differentiation and Applications
- 2020

In this paper we obtain generalized Gronwall type inequality using Caputo Fractional delta operator. Also we have obtained the existence of solution of Cauchy's Type problem on fractional dynamic…

### Properties of Some Dynamic Partial Integrodifferential Equations on Time Scales

- Mathematics
- 2018

The main objective of this paper is to study some properties of new dynamic equations partial integrodifferential equations in two independent variables on time scales. The tools used in obtaining…

### Some Ostrowski Type Inequalities for Double Integrals on Time Scales

- MathematicsActa Applicandae Mathematicae
- 2018

The main objective of this paper is to study some Ostrowski type inequalities for double integrals on Time Scales. Some other interesting inequalities are also given.

### Some Ostrowski and Cebysev type inequality in three variables on Time Scales

- Philosophy, Mathematics
- 2017

The main objective of this paper is to study some Ostrowski and Cebysev type inequalities in three variables on Time Scales

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### @BULLET Voronovskaya Type Asymptotic Expansions for Perturbed Neural Networks Anastassiou, George A. Pages 587-626 Show next 3

- @BULLET Voronovskaya Type Asymptotic Expansions for Perturbed Neural Networks Anastassiou, George A. Pages 587-626 Show next 3

### @BULLET Voronovskaya Type Asymptotic Expansions for Error Function Based Quasi-interpolation Neural Networks Anastassiou

- @BULLET Voronovskaya Type Asymptotic Expansions for Error Function Based Quasi-interpolation Neural Networks Anastassiou

### @BULLET Multivariate Error Function Based Neural Network Operators Approximation Anastassiou

- @BULLET Multivariate Error Function Based Neural Network Operators Approximation Anastassiou

### @BULLET Multivariate Fuzzy-Random Perturbed Neural Network Approximations Anastassiou

- @BULLET Multivariate Fuzzy-Random Perturbed Neural Network Approximations Anastassiou