scholarly journals New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 746
Author(s):  
Lina Zhang ◽  
Xuesi Ma
Keyword(s):  
Approximation Method ◽  
Polynomial Bounds

In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation method. The results show that our bounds are tighter than the previous methods.

scholarly journals Some New Results of Mitrinović–Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Lina Zhang ◽  
Xuesi Ma
Keyword(s):  
Approximation Method ◽  
Polynomial Bounds

In this paper, new refinements and improvements of Mitrinović–Cusa’s and related inequalities are presented. First, we give new polynomial bounds for sinc(x) and cos(x) functions using the interpolation and approximation method. Based on the obtained results of the above two functions, we establish new bounds for Mitrinović–Cusa’s, Wilker’s, Huygens’, Wu–Srivastava’s, and Neuman–Sándor’s inequalities. The analysis results show that our bounds are tighter than the previous methods.

Using the Combination of GM(1,1) and Taylor Approximation Method to Predict the Academic Achievement of Student

2014 ◽  
Vol 1 (2) ◽  
pp. 55-69 ◽  
Author(s):  
Phuoc-Hai Nguyen ◽  
◽  
Tian-Wei Sheu ◽  
Phung-Tuyen Nguyen ◽  
Duc-Hieu Pham ◽  
...  
Keyword(s):  
Academic Achievement ◽  
Approximation Method ◽  
Taylor Approximation

Some numerical graphs with successive approximation method of fractional integro–differential equation

2019 ◽  
Vol 8 (4) ◽  
pp. 36
Author(s):  
Samir H. Abbas
Keyword(s):  
Differential Equation ◽  
Successive Approximation ◽  
Approximation Method ◽  
Existence And Uniqueness ◽  
Successive Approximation Method ◽  
Integro Differential Equation

This paper studies the existence and uniqueness solution of fractional integro-differential equation, by using some numerical graphs with successive approximation method of fractional integro –differential equation. The results of written new program in Mat-Lab show that the method is very interested and efficient. Also we extend the results of Butris [3].

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