1st Edition
Advances in Mathematical Analysis and its Applications
Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more.
Features:
- The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study.
- It offers an understanding of research problems by presenting the necessary developments in reasonable details
- The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems
- Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications.
The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.
1. Some applications of double sequences
Dragan Djurčić and Ljubiša D.R. Kočinac
2. Convergent triple sequences and statistical cluster points
Mehmet Gürdal and Mualla Birgül Huban
3. Relative Uniform Convergence of Sequence of Positive Linear Functions
Kshetrimayum Renubebeta Devi and Binod Chandra Tripathy
4. Almost convergent sequence spaces defined by Nörlund Ma- trix and generalized difference matrix
Kuldip Raj and Manisha Devi
5. Factorization of the infinite Hilbert and Cesàro operators
Hadi Roopaei
6. On Theorems of Galambos-Bojanić-Seneta Type
Dragan Djurčić and Ljubiša D.R. Kočinac
7. On the spaces of absolutely p-summable and bounded q-Euler difference sequences
Taja Yaying
8. Approximation by the double sequence of LPO based on mul- tivariable q-Lagrange polynomials
Behar Baxhaku and P. N. Agrawal
9. Results on interpolative Boyd-Wong contraction in quasi- partial b-metric space
Pragati Gautam and Swapnil Ve
10. Applications of differential transform method on some func- tional differential equations
Anil Kumar, Giriraj Methi, and Sanket Tikare
11. Solvability of fractional integral equation via measure of non- compactness and shifting distance functions
Bhuban Chandra Deuri and Anupam Das
12. Generalized Fractional Operators and Inequalities Integrals
Juan E. Nápoles Valdés and Florencia Rabossi
13. Exponentially biconvex functions and bivariational inequali- ties
Muhammad Aslam Noor and Khalida Inayat Noor
14. On a certain subclass of analytic functions defined by Bessel functions
B. Venkateswarlu, P. Thirupathi Reddy, and Shashikala A
15. A note on meromorphic functions with positive coefficients defined by differential operator
B. Venkateswarlu, P. Thirupathi Reddy, and Sujatha
16. Sharp coefficient bounds and solution of the Fekete-Szegö problem for a certain subclass of bi-univalent functions asso- ciated with the Chebyshev polynomials
Amol Bhausaheb Patil
17. Some differential sandwich theorems involving a multiplier transformation and Ruscheweyh derivative
Alb Lupaş Alina
18. A Study on Self Similar, Nonlinear and Complex Behaviour of the Spread of COVID-19 in India
Dibakar Das, Sankalpa Chowdhury, Gourab Das, Anuska Chanda, Swapnesh Khamaru, and Koushik Ghosh
Biography
Bipan Hazarika
