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… 

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References

SHOWING 1-7 OF 7 REFERENCES

@BULLET High Degree Multivariate Fuzzy Approximation by Neural Network Operators Using the Error Function Anastassiou

  • @BULLET High Degree Multivariate Fuzzy Approximation by Neural Network Operators Using the Error Function Anastassiou

@BULLET Univariate Error Function Based Neural Network Approximations Anastassiou

  • @BULLET Univariate Error Function Based Neural Network Approximations Anastassiou

@BULLET Fuzzy Fractional Error Function Relied Neural Network Approximations Anastassiou

  • @BULLET Fuzzy Fractional Error Function Relied Neural Network Approximations Anastassiou

@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