The Triple Ordinates for 3-variable v-convex Functions in Hadamard’s Inequality
Abstract
In this paper, along with a number of applications, the extension of Hadamard’s kind inequality for v-convex functions and v-convex functions on triple ordinates given in 3 variables is shown.
References
H. Hudzik and L. Maligranda, Some remarks on s-convex functions, Aequationes Math. 48 (1994), 100-111. https://doi.org/10.1007/bf01837981
M. Alomari and M. Darus, The Hadamard’s inequality for s-convex function of 2-variables on the co-ordinates, Int. J. Math. Anal. 2(13) (2008), 629-638.
S.S. Dragomir and S. Fitzpatrick, The Hadamard’s inequality for s-convex functions in the second sense, Demonstratio Math. 32(4) (1999), 687-696. https://doi.org/10.1515/dema-1999-0403
S. S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics 5 (2001), 775-788. https://doi.org/10.11650/twjm/1500574995
S. S. Dragomir, A mapping in connection to Hadamard’s inequality, An Ostro. Akad. Wiss. Math. -Natur (Wien) 128 (1991), 17-20.
S. S. Dragomir, Two mappings in connection to Hadamard’s inequality, J. Math. Anal. Appl. 167 (1992), 49-56.
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