Mathematical Analysis I: Approximation Theory

1. Front Matter

   Pages i-xi

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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

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.

• fixed point theory
• analysis
• approximation theory
• operator theory
• differential equations
• ICRAPAM

• 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

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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