Dynamic Inequalities for Convex Functions Harmonized on Time Scales - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.12, December 2017

Dynamic Inequalities for Convex Functions Harmonized on Time Scales ()

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Download as PDF (Size: 317KB) PP. 2360-2370

DOI: 10.4236/jamp.2017.512193 1,090 Downloads 2,138 Views Citations

Author(s)

Muhammad Jibril Shahab Sahir

Affiliation(s)

University of Sargodha, Sub-Campus Bhakkar, Bhakkar, Pakistan.

ABSTRACT

We present here some general fractional Schl?milch’s type and Rogers-H?lder’s type dynamic inequalities for convex functions harmonized on time scales. First we present general fractional Schl?milch’s type dynamic inequalities and generalize it for convex functions of several variables by using Bernoulli’s inequality, generalized Jensen’s inequality and Fubini’s theorem on diamond-α calculus. To conclude our main results, we present general fractional Rogers-H?lder’s type dynamic inequalities for convex functions by using general fractional Schl?milch’s type dynamic inequality on diamond-α calculus for p_i>1 with

KEYWORDS

Delta, Nabla and Diamond-α Time Scales, Fractional Integral Inequalities

Share and Cite:

Sahir, M. (2017) Dynamic Inequalities for Convex Functions Harmonized on Time Scales. Journal of Applied Mathematics and Physics, 5, 2360-2370. doi: 10.4236/jamp.2017.512193.

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