An integral inequality for differentiable functions of several variables

1985 ◽  
Vol 25 (5) ◽  
pp. 790-794 ◽  
Author(s):  
Yu. G. Reshetnyak
Keyword(s):  
Integral Inequality ◽  
Differentiable Functions ◽  
Several Variables

scholarly journals Some generalizations of the Hermite–Hadamard integral inequality

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Slavko Simić ◽  
Bandar Bin-Mohsin
Keyword(s):  
Integral Inequality ◽  
Target Function ◽  
Convexity Property ◽  
Concave Functions ◽  
Differentiable Functions

AbstractIn this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assumed in advance. They represent a refinement of this inequality in the case of convex/concave functions with numerous applications.

Approximations of differentiable functions of several variables

1990 ◽  
Vol 48 (3) ◽  
pp. 898-903
Author(s):  
S. B. Vakarchuk
Keyword(s):  
Differentiable Functions ◽  
Several Variables

scholarly journals Extending n times differentiable functions of several variables

1999 ◽  
Vol 49 (4) ◽  
pp. 825-830 ◽  
Author(s):  
Hajrudin Fejzić ◽  
Dan Rinne ◽  
Clifford Weil
Keyword(s):  
Differentiable Functions ◽  
Several Variables

scholarly journals General Raina fractional integral inequalities on coordinates of convex functions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Artion Kashuri ◽  
Pshtiwan Othman Mohammed ◽  
Badreddine Meftah
Keyword(s):  
Mathematical Model ◽  
Fractional Calculus ◽  
Convex Function ◽  
Mathematical Analysis ◽  
Integral Inequality ◽  
Convex Functions ◽  
Fractional Integral ◽  
Integral Inequalities ◽  
Differentiable Functions ◽  
Special Cases

AbstractIntegral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using an $(l_{1},h_{1})$ ( l 1 , h 1 ) -$(l_{2},h_{2})$ ( l 2 , h 2 ) -convex function on coordinates. Also, we obtain an integral identity for partial differentiable functions. As an effect of this result, two interesting integral inequalities for the $(l_{1},h_{1})$ ( l 1 , h 1 ) -$(l_{2},h_{2})$ ( l 2 , h 2 ) -convex function on coordinates are given. Finally, we can say that our findings recapture some recent results as special cases.

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