Research

Research Interest

Dynamic Inequality, Fractional Calculus, Time Scale Calculus


List of Publications

 


 

A WEIGHTED HARDY-TYPE INEQUALITY IN TIME SCALE, S. Sahoo, S. K. Sunanda, Journal of Indian Mathematical Society, 2023 (Accepted)

 

1. Extended convergence ball for an efficient eighth order method using only the first

Derivative, IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

SeMA Journal, 80, 319-331; 2023, https://doi.org/10.1007/s40324-022-00287-0

 

2. Extended three step sixth order Jarratt-like methods under generalized conditions for

nonlinear equations; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, MI

Argyros, Arabian Journal of Mathematics, 11: 443-457, 2022;

https://doi.org/10.1007/s40065-022-00379-9

 

3. A study on the local convergence and complex dynamics of Kou’s family of iterative

methods; IK Argyros, D Sharma, SK Parhi, SK Sunanda, SeMA Journal 79 (2), 365-381,2022

https://doi.org/10.1007/s40324-021-00257-y

 

4. Extended iterative schemes based on decomposition for nonlinear models; IK Argyros, D

Sharma, CI Argyros, SK Parhi, SK Sunanda, Journal of Applied Mathematics and Computing 68 (3), 1485-1504, 2022

https://doi.org/10.1007/s12190-021-01570-5

 

 

5. Extending the applicability and convergence domain of a higher-order iterative algorithm

under ω condition; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

Rendiconti del Circolo Matematico di Palermo Series 2 71 (1), 469-482, 2022

https://doi.org/10.1007/s12215-021-00624-8

 

6. On the Convergence of Harmonic Mean Newton Method Under ω Continuity Condition

in Banach Spaces; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

International Journal of Applied and Computational Mathematics, 7, 219, 2021

https://doi.org/10.1007/s40819-021-01159-3

 

7. Extended ball convergence for a seventh order derivative free class of algorithms for

nonlinear equations; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

Matematychni Studii 56 (1), 72-82, 2021

 

8. Extending the Applicability and Convergence Domain of a Fifth-Order Iterative Scheme

under Hölder Continuous Derivative in Banach Spaces; D Sharma, SK Parhi, SK

Sunanda, Contemporary Mathematics, 258-270, 2021

https://doi.org/10.37256/cm.242021962

 

9. Convergence of Traub's Iteration under Continuity Condition in Banach Spaces; D

Sharma, SK Parhi, SK Sunanda Russian Mathematics 65 (9), 52-68, 2021

https://doi.org/10.3103/S1066369X21090073

 

10. Extended High Order Algorithms for Equations under the Same Set of Conditions; IK

Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, MI Argyros

Algorithms 14 (7), 207, 2021:  https://doi.org/10.3390/a14070207

 

11. Extending the convergence domain of deformed Halley method under ω condition in

Banach spaces; D Sharma, SK Parhi, SK Sunanda

Boletin de la Sociedad Matematica Mexicana 27 (2), 1-14, 2021

https://doi.org/10.1007/s40590-021-00318-2

 

12. A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models; IK

Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, Symmetry 13 (4), 715, 2021

 https://doi.org/10.3390/sym13040715

 

13. Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of

Equation Solvers; D Sharma, IK Argyros, SK Parhi, SK Sunanda, Fractal and Fractional 5 (2), 27, 2021  https://doi.org/10.3390/fractalfract5020027

 

14. A new class of fifth and sixth order root-finding methods with its dynamics and

applications; D Sharma, SK Parhi, SK Sunanda, Contemporary Mathematics, 1(5), 401-16,2020

https://doi.org/10.37256/cm.152020606

 

15. On the convergence, dynamics and applications of a new class of nonlinear system

solvers; IK Argyros, D Sharma, SK Parhi, SK Sunanda, International Journal of Applied and Computational Mathematics 6 (5), 1-22, 2020

https://doi.org/10.1007/s40819-020-00893-4

 

16. An improved local analysis of deformed Halley method in Banach spaces; D SHARMA,

SK PARHI, SK SUNANDA

Poincare Journal of Analysis Applications, 7 (2), 227–238, 2020, Poincare Publisher

 

17. PERIOD OF BALANCING NUMBERS MODULO PRODUCT OF CONSECUTIVE

LUCAS-BALANCING NUMBERS

60 (83), No 2, 2018, pp. 181–185

18. Some New Inequalities similar to Hardy-Hilbert's Inequality

S. K. Sunanda, C. Nahak, S. Nanda,    Mathematical Inequalities and Applications

   Volume 13, Number 3 (2010), 601–611, dx.doi.org/10.7153/mia-13-41

 

19. A New Generalization of Hardy-Hilbert’s Inequality

   S. K. Sunanda, C. Nahak, S. Nanda,  Journal of Indian Mathematical Society  

   Vol. 77, Nos. 1-4, (2010), 195-206.

 

20. Generalized Hardy-Hilbert's Inequality

S. K. Sunanda, C. Nahak, S. Nanda,    Communications in Applied Analysis

  Vol 14 (4), 481-490, (2010).

21. . Some New Generalizations of Hardy's Integral Inequality

S. K. Sunanda, C. Nahak, S. Nanda,  International Journal of Mathematics and Mathematical Sciences ,          Volume 2006, Article ID 19013, 1-15; DOI 10.1155/IJMMS/2006/19013

 

 Project

Crypto Currency Forecasting using Fuzzy Models