Investigation of rupture lines of the functions of two variables or their derivatives of some order

2016 ◽  
Vol 19 (1) ◽  
pp. 37-43
Author(s):  
O. Lytvyn ◽  
◽  
O. Slavik ◽  
Keyword(s):  
Functions Of Two Variables ◽  
Derivatives Of

scholarly journals New Hermite-Hadamard type inequalities for m and (α, m)-convex functions on the coordinates via generalized fractional integrals

2021 ◽  
Vol 40 (6) ◽  
pp. 1449-1472
Author(s):  
Seth Kermausuor
Keyword(s):  
Convex Functions ◽  
Type Inequality ◽  
Second Order ◽  
Fractional Integrals ◽  
Absolute Value ◽  
Partial Derivatives ◽  
Independent Variables ◽  
Functions Of Two Variables ◽  
Derivatives Of ◽  
Two Independent Variables

In this paper, we obtained a new Hermite-Hadamard type inequality for functions of two independent variables that are m-convex on the coordinates via some generalized Katugampola type fractional integrals. We also established a new identity involving the second order mixed partial derivatives of functions of two independent variables via the generalized Katugampola fractional integrals. Using the identity, we established some new Hermite-Hadamard type inequalities for functions whose second order mixed partial derivatives in absolute value at some powers are (α, m)-convex on the coordinates. Our results are extensions of some earlier results in the literature for functions of two variables.

The Design of Linkages to Generate Functions of Two Variables

1959 ◽  
Vol 81 (1) ◽  
pp. 23-28 ◽  
Author(s):  
C. W. Allen
Keyword(s):  
Single Point ◽  
Graphical Methods ◽  
Functions Of Two Variables ◽  
Basic Approaches ◽  
Derivatives Of

Graphical methods are presented for designing linkages that have two inputs and one output. Two basic approaches are developed. The desired function is matched at a limited number of positions with the maximum number being seven. Designs are also developed which match the derivatives of the desired function at a single point. The designs were developed with ease of solution and broadness of application as primary considerations.

Sign in / Sign up

Export Citation Format

Share Document