Some new simpson type inequalities for the p-convex and p-concave functions

KONUK, İŞCAN İmdat;

doi:10.1501/commua1_0000000879

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

2018

DOI: 10.1501/commua1_0000000879

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Some new simpson type inequalities for the p-convex and p-concave functions

İŞCAN İmdat; KONUK¹

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2020

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Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

et al. 2020

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The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type inequalities for the class of functions whose local fractional derivatives in absolute values at certain powers are p-convex. The method we present is an alternative in showing the classical variants associated with generalized p-convex functions. Some parts of our results cover the classical convex functions and classical harmonically convex functions. Some novel applications in random variables, cumulative distribution functions and generalized bivariate means are obtained to ensure the correctness of the present results. The present approach is efficient, reliable, and it can be used as an alternative to establishing new solutions for different types of fractals in computer graphics.

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Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

et al. 2020

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Some new simpson type inequalities for the p-convex and p-concave functions

Cited by 1 publication

References 17 publications

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

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