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. 2. Convergent triple sequences and statistical cluster points. 3. Relative Uniform Convergence of Sequence of Positive Linear Functions. 4. Almost convergent sequence spaces defined by Nörlund Ma- trix and generalized difference matrix. 5. Factorization of the infinite Hilbert and Cesàro operators. 6. On Theorems of Galambos-Bojanić-Seneta Type. 7. On the spaces of absolutely p-summable and bounded q-Euler difference sequences. 8. Approximation by the double sequence of LPO based on mul- tivariable q-Lagrange polynomials. 9. Results on interpolative Boyd-Wong contraction in quasi- partial b-metric space. 10. Applications of differential transform method on some func- tional differential equations. 11. Solvability of fractional integral equation via measure of non- compactness and shifting distance functions. 12. Generalized Fractional Operators and Inequalities Integrals. 13. Exponentially biconvex functions and bivariational inequali- ties. 14. On a certain subclass of analytic functions defined by Bessel functions. 15. A note on meromorphic functions with positive coefficients defined by differential operator. 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. 17. Some differential sandwich theorems involving a multiplier transformation and Ruscheweyh derivative. 18. A Study on Self Similar, Nonlinear and Complex Behaviour of the Spread of COVID-19 in India