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Mathematical Analysis I: Approximation Theory

ICRAPAM 2018, New Delhi, India, October 23–25

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Naokant Deo

    1. Department of Applied Mathematics, Delhi Technological University, New Delhi, India

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  2. Vijay Gupta

    1. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

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  3. Ana Maria Acu

    1. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

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  4. P. N. Agrawal

    1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

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  • Collects research papers and survey articles on major topics in mathematical analysis and its applications
  • Discusses recent advances in mathematical analysis, approximation theory, fixed-point theory, and summability theory
  • Presents analytical techniques to solve problems and derive numerical solutions

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 306)

Included in the following conference series:

Conference proceedings info: ICRAPAM 2018.

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Expressions, Localization Results, and Voronovskaja Formulas for Generalized Durrmeyer Type Operators

    • Antonio-Jesús López-Moreno
    Pages 1-16

  3. Lupaş–Kantorovich Type Operators for Functions of Two Variables

    • P. N. Agrawal, Abhishek Kumar
    Pages 17-36

  4. Bernstein Polynomial Multiwavelets Operational Matrix for Solution of Differential Equation

    • Shweta Pandey, Sandeep Dixit, S. R. Verma
    Pages 37-46

  5. Convergence Estimates of Certain Exponential Type Operators

    • Vijay Gupta
    Pages 47-55

  6. A Better Error Estimation on Generalized Positive Linear Operators Based on PED and IPED

    • Neha Bhardwaj
    Pages 57-66

  7. Q-Analogue of Generalized Bernstein–Kantorovich Operators

    • Ram Pratap, Naokant Deo
    Pages 67-75

  8. Approximation by Certain Operators Linking the \(\alpha \)-Bernstein and the Genuine \(\alpha \)-Bernstein–Durrmeyer Operators

    • Ana Maria Acu, Voichiţa Adriana Radu
    Pages 77-88

  9. Note on a Proof for the Representation of the kth Order Kantorovich Modification of Linking Baskakov Type Operators

    • Margareta Heilmann, Ioan Raşa
    Pages 89-93

  10. Degree of Approximation by Generalized Boolean Sum of \(\lambda \)-Bernstein Operators

    • Ruchi Chauhan, P. N. Agrawal
    Pages 95-109

  11. Durrmeyer Modification of Lupaş Type Baskakov Operators Based on IPED

    • Minakshi Dhamija
    Pages 111-119

  12. On Bernstein–Chlodowsky Type Operators Preserving Exponential Functions

    • Firat Ozsarac, Ali Aral, Harun Karsli
    Pages 121-138

  13. Iterative Approximation of Common Fixed Points in Kasahara Spaces

    • Alexandru-Darius Filip, Voichiţa Adriana Radu
    Pages 139-149

  14. Fixed Point Theorem in Fuzzy Metric Space Via \(\alpha \)-Series Contraction

    • Vizender Sihag, Dinesh, Vinod
    Pages 151-159

  15. The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space

    • Anushri A. Aserkar, Manjusha P. Gandhi
    Pages 161-171

  16. Radius Estimates for Three Leaf Function and Convex Combination of Starlike Functions

    • Shweta Gandhi
    Pages 173-184

  17. First-Order Differential Subordinations for Janowski Starlikeness

    • Swati Anand, Sushil Kumar, V. Ravichandran
    Pages 185-196

  18. Coefficient Bounds for a Unified Class of Holomorphic Functions

    • Mridula Mundalia, Sivaprasad Kumar Shanmugam
    Pages 197-210

  19. Bohr Radius for Certain Analytic Functions

    • Naveen Kumar Jain, Shalu Yadav
    Pages 211-221

  20. Third Hankel Determinant for Certain Classes of Analytic Functions

    • Virendra Kumar, Sushil Kumar, V. Ravichandran
    Pages 223-231
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Other volumes

  1. Mathematical Analysis I: Approximation Theory

  2. Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory

Keywords

About this book

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.

Editors and Affiliations

  • Department of Applied Mathematics, Delhi Technological University, New Delhi, India

    Naokant Deo

  • Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

    Vijay Gupta

  • Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

  • Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

    P. N. Agrawal

About the editors

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 isan 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.



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