Titlebook: Mathematical Analysis I: Approximation Theory; ICRAPAM 2018, New De Naokant Deo,Vijay Gupta,P. N. Agrawal Conference proceedings 2020 Sprin

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Naokant Deo,Vijay Gupta,P. N. AgrawalCollects 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,

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A Better Error Estimation on Generalized Positive Linear Operators Based on PED and IPED,verse Pólya-Eggenberger Distribution (IPED). We investigate the rate of convergence of these operators with the aid of the Peetre’s . functional and study the order of approximation for functions in Lipschitz type space.

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The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Properng common limit range property. We have proved this theorem without using the condition of completeness of the b-metric space. The result is an extension and generalization of many results available in metric space. A suitable example is also discussed to validate the result.

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First-Order Differential Subordinations for Janowski Starlikeness,and normalized by . satisfy the subordination . whenever, for certain choice of ., the function . is subordinate to a starlike function associated with lune. Further, we obtain certain sufficient conditions for a normalized analytic function . to be in the class of Janowski starlike functions.

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Third Hankel Determinant for Certain Classes of Analytic Functions,p bound on the third Hankel determinant as compared to calculate the sharp bound on the second Hankel determinant. The present paper is an attempt to improve certain existing bound on the third Hankel determinant for some classes of analytic functions by using the concept of subordination.