Mathematical Analysis I: Approximation Theory

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as operator theory, approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions. It is a valuable resource for students as well as researchers in mathematical sciences.

Autorentext

Naokant Deo, Ph.D., is a Professor at the Department of Applied Mathematics, Delhi Technological University, India. He is an active member of various scientific organizations.

His main research interests include approximation theory and real analysis.

Vijay Gupta is a Professor in the Department of Mathematics at the Netaji Subhas University of Technology, New Delhi, India. He holds a Ph.D. from the Indian Institute of Technology Roorkee (formerly, the University of Roorkee), and his area of research is approximation theory, with a focus on linear positive operators. The author of 5 books, 15 book chapters, and over 300 research papers, he is actively involved in editing over 25 international scientific research journals.

Ana Maria Acu is a Professor at the Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Romania. She earned her Ph.D. in Mathematics from the Technical University of Cluj-Napoca, Romania. She is an active member of various scientific organizations, editorial boards of scientific journals, and scientific committees, and her main research interest is approximation theory.

P.N. Agrawal is a Professor at the Department of Mathematics, Indian Institute of Technology Roorkee, India. He received his Ph.D. degree from the Indian Institute of Technology Kanpur, India, in 1980. Professor Agrawal has published 110 research papers in various respected journals, has presented papers at a number of international conferences in India and abroad and also delivered invited lectures. His research interests include approximation theory, numerical methods, and complex analysis.

Inhalt

A. J. Lopez-Moreno, Expressions, Localization Results and Voronovskaja Formulas for Generalized Durrmeyer Type Operators.- P. N. Agrawal and A. Kumar, Lupas Kantorovich Type Operators for Functions of Two Variables.- S. Pandey, S. R. Verma and S. Dixit, Bernstein Polynomials Multi Wavelets Operational Matrix for Solution of Differential Equation.- V. Gupta, Convergence Estimates of Certain Exponential Type Operators.- N. Bhardwaj, A Better Error Estimation on Generalized Positive Linear Operators Based on PED and IPED.- R. Pratap and N. Deo, Approximation by -BernsteinKantrovich Operator.- A. A. Maria and V. A. Radu, Approximation by Certain Operators Linking the -Bernstein and the Genuine -BernsteinDurrmeyer Operators.- M. Heilmann and I. Rasa, Note on a Proof for the Representation of the k-th Order Kantorovich Modification of Linking Baskakov Type Operators.- R. Chauhan and P. N. Agrawal, Degree of Approximation by Generalized Boolean Sum of -Bernstein Operators.- M. Dhamija, Durrmeyer Modification of Lupas Type Baskakov Operators Based on IPED.- F. Ozsarac, A. Aral and H. Karsli, On BernsteinChlodowsky Type Operators Preserving Exponential Functions.- A.-D. Filip and V. A. Radu, Iterative Approximation of Common Fixed Points in Kasahara Spaces.- V. Sihag and Dinesh, Vinod, Fixed Point Theorem in Fuzzy Metric Space Via -Series Contraction.- A. A. Aserkar and M. P. Gandhi, The Unique Common Fixed-Point Theorem for Four Mappings Satisfying Common Limit in the Range.- S. Gandhi, Radius Estimates for Three Leaf Function and Convex Combination of Starlike Functions.- S. Anand, S. Kumar and V. Ravichandran: Starlikeness Associated with Admissible Functions.- M. Mundalia and S. S. Kumar, Coefficient Bounds for a Unified Class of Holomorphic Functions.- N. K. Jain and S. Yadav, Bohr Radius for Certain Analytic Functions.- V. Kumar, S. Kumar and V. Ravichandran, Third Hankel Determinant for Certain Classes of Analytic Functions.- R. Haloi and M. Sen, -Statistical Convergence of Sequences in Probabilistic n-Normed Spaces.- S. Shah and T. Das, Recent Advances in Distributional Chaos Theory.- A. K. Verma and S. Kumar, Lacunary Statistical Convergence of Order for Generalized Difference Sequences and Summability through Modulus Function.- Ritika, Convergence of Three Step Iterative Process for Generalized Asymptotically Quasi-Non expansive Mappings in CAT(0) Spaces.