Abstract
Building on the work of Josip Pečarić in 2013 and 1982 and on the work of Srivastava in 2017. We prove some new α-conformable dynamic inequalities of Steffensen-type on time scales. In the case when α=1, we obtain some well-known time scale inequalities due to Steffensen inequalities. For some specific time scales, we further show some relevant inequalities as special cases: α-conformable integral inequalities and α-conformable discrete inequalities. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.
Highlights
We suppose that σ : T → T, the forward jump operator, by Dynamic Inequalities via Conformable Delta Derivative on Arbitrary Time Scales
A massive range of dynamic inequalities on time scales has been investigated by using exclusive authors who have been inspired with the aid of a few applications
Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities
Summary
We suppose that σ : T → T, the forward jump operator, by Dynamic Inequalities via Conformable Delta Derivative on Arbitrary Time Scales. A massive range of dynamic inequalities on time scales has been investigated by using exclusive authors who have been inspired with the aid of a few applications (see [19,20,21,22,23,24,25,26,27,28,29,30,31,32]). Some authors created different results regarding fractional calculus on time scales to provide associated dynamic inequalities (see [33,34,35,36]). Let λ, λ1 , λ2 : [`1 , `2 ] → R be integrable functions on [`1 , `2 ] such that λ/λ2 is nonincreasing and λ2 is nonnegative.
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