๐ Early Academic Pursuits
Assist. Prof. Dr. Atanu Manna began his academic journey with a Bachelor of Science (B.Sc.) from Vidyasagar University, Midnapore (2006), securing First Class First. He then pursued his Master of Science (M.Sc.) in Mathematics from Jadavpur University, Kolkata (2008), achieving First Class Fifth with a specialization in Pure Mathematics. His academic excellence led him to the Indian Institute of Technology, Kharagpur, where he earned his Doctor of Philosophy (Ph.D.) in 2014. His doctoral research focused on “Modular sequence spaces defined by using de la Valle-Poussin Means, Generalized Means, and Difference operator”.
๐ผ Professional Endeavors
Currently serving as an Assistant Professor in Mathematics at the Indian Institute of Carpet Technology, Bhadohi, India, Dr. Manna plays a pivotal role in academic and research advancements. His expertise extends to subjects like Calculus, Linear Algebra, Functional Analysis, Applied Statistics, and Complex Analysis. His teaching philosophy integrates theoretical concepts with real-world applications, fostering a deep understanding among students.
๐ฌ Contributions and Research Focus On Mathematicalย
Dr. Atanu Manna, an esteemed Assistant Professor at the Indian Institute of Carpet Technology, specializes in Functional Analysis, Operator Theory, and Inequalities. His pioneering work on Orlicz and Musielak-Orlicz spaces ๐, Hardy-type inequalities ๐, and Numerical Radius bounds ๐ข has led to groundbreaking improvements in mathematical inequalities. His contributions include refining Hardy, Copson, and Rellich inequalities, extending operator theory in Banach spaces, and developing new geometric properties of modular spaces. With numerous high-impact journal publications ๐, he actively participates in international conferences ๐, sharing insights on mathematical analysis. His research bridges pure and applied mathematics, influencing theoretical advancements and practical applications in mathematical sciences. ๐
๐ Impact and Influence
Dr. Manna’s scholarly works have made a significant impact on Mathematical Analysis and Inequalities. His research outputs include numerous peer-reviewed journal articles and conference proceedings, enhancing the field’s understanding of functional spaces and operator inequalities. His international collaborations and participation in prestigious conferences underscore his influence in the global mathematical community.
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Awards and Honorsย
Dr. Manna has been recognized for his outstanding contributions to mathematics through multiple conference invitations, research fellowships, and academic distinctions. His First Class First rank in B.Sc. and prestigious conference presentations highlight his academic excellence.
๐ Academic Citations
With a growing presence in the academic world, Dr. Manna has authored and co-authored over 20 research papers in esteemed journals such as Linear Algebra and its Applications, Glasgow Mathematical Journal, Revista de la Real Academia de Ciencias, and Journal of Mathematical Analysis and Applications. His Google Scholar profile reflects his research impact, with a steadily increasing citation count, validating the significance of his work.
๐ Legacy and Future Contributions
Dr. Manna’s research continues to shape the field of Mathematical Inequalities and Operator Theory. His future endeavors include further advancements in Banach space geometry and numerical radius inequalities. With a strong dedication to teaching and research, he aims to mentor aspiring mathematicians, leaving a lasting impact on the academic landscape.
Publications Top Notes
๐ Numerical radius and Berezin number inequality
๐ Journal of Mathematical Analysis and Applications (2023) โ Cited by: 7 ๐ข
๐ Difference sequence spaces derived by using generalized means
๐ Journal of the Egyptian Mathematical Society (2015) โ Cited by: 6 ๐
๐ Some mth-order Difference Sequence Spaces of Generalized Means and Compact Operators
๐ Annals of Functional Analysis (2015) โ Cited by: 6 ๐งฎ
๐ On the improvements of Hardy and Copson inequalities
๐ Revista de la Real Academia de Ciencias Exactas, Fรญsicas y Naturales (2023) โ Cited by: 3 ๐
๐ Norm inequalities involving upper bounds of certain matrix operators in Orlicz-type sequence spaces
๐ The Journal of Analysis (2019) โ Cited by: 3 ๐ฃ
๐ Factorized enhancement of Copson’s inequality
๐ Tamkang Journal of Mathematics (2018) โ Cited by: 3 ๐
๐ Norm inequalities involving upper bounds for operators in Orlicz-Taylor sequence spaces
๐ 4th International Conference in Mathematics and Computing (2018) โ Cited by: 2 ๐ข
๐ Some geometric properties of Musielak-Orlicz sequence spaces generated by de la Vallee-Poussin means
๐ Mathematical Inequalities & Applications (2015) โ Cited by: 2 ๐
๐ On improvements of the Hardy, Copson and Rellich inequalities
๐ arXiv preprint (2023) โ Cited by: 1 ๐ฌ
๐ Orlicz extension of Numerical radius inequalities
๐ arXiv preprint (2022) โ Cited by: 1 ๐
๐ Bigeometric Cesร ro difference sequence spaces and Hermite interpolation
๐ Asian-European Journal of Mathematics (2020) โ Cited by: 1 โ๏ธ
๐ New Hardy-type integral inequalities
๐ Acta Sci. Math. (Szeged) (2020) โ Cited by: 1 ๐ฏ
๐ Property (k-beta) of Musielak-Orlicz and Musielak-Orlicz-Cesaro spaces
๐ Revista de la Real Academia de Ciencias Exactas, Fรญsicas y Naturales (2019) โ Cited by: 1 ๐
๐ Some geometric properties of generalized Cesaro-Musielak-Orlicz spaces equipped with the Amemiya norm
๐ Acta Mathematica Vietnamica (2016) โ Cited by: 1 ๐
๐ Some paranormed difference sequence spaces derived by using Generalized means
๐ Kyungpook Mathematical Journal (2015) โ Cited by: 1 ๐
๐ On (K-NUC)-property in Musielak-Orlicz spaces defined by de la Vallee-Poussin means and some countably modulared spaces
๐ DCDIS, Series A: Mathematical Analysis (2014) โ Cited by: 1 ๐ข
๐ Some Geometric Properties of Generalized Cesร roโMusielakโOrlicz Sequence Spaces
๐ Mathematics and Computing Conference (Haldia, India) โ Cited by: N/A ๐