Biosketch
Research Interests
Dynamic Inequality, Fractional Calculus, Time Scale Calculus
Educational Details
IIT Kharagpur, India
Ph.D., Functional Analysis August 2008
Professional Background
Assistant Professor, BIT Mesra June 2008- October 2011
Assistant Professor, IIIT Bhubaneswar October 2011- Present
Research Project:
Topic: Crypto currency Forecasting using Fuzzy Models
Starting Date: March 2023
Funding Agency: Higher Education Council, Odisha
Publications:
Some of my selected Publications:
A WEIGHTED HARDY-TYPE INEQUALITY IN TIME SCALE,
S. Sahoo, S. K. Sunanda,
Journal of Indian Mathematical Society, 2023 (Accepted)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
TEACHING ENGAGEMENTS(2022-23)
Probability & Stochastic Process Autumn
Discrete Mathematics Spring
STUDENTS
PhD Super Visions
Scholar: Debasis Sharma
Thesis: Local Convergence and Dynamics of Higher Order Iterative Schemes In Banach Spaces
Other Supervisor: Prof. S. K. Parhi
Degree Awarded: 2021
Scholar: Bijan Kmar Patel
Thesis: Some Generalizations and Modular Properties of the Balancing Sequence
Other Supervisor: Prof. P. K. Ray
Degree Awarded: 2018