NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS

By Sabah Iftikhar, Poom Kumam, Samet Erden. 2020

57 citations recorded by the source corpus.

We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained. Some applications of these inequalities for Simpson’s quadrature rules and generalized special means are also given.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8a5f6c039648f612937a3f001c8def047922fedf

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In Applied Mathematics

1. Hüseyin Budak
2. Muhammad Aamir Ali
3. Samet Erden

In Numerical Analysis

1. Hüseyin Budak
2. Muhammad Aamir Ali
3. Samet Erden

Citations in the corpus

• Simpson and Newton type inequalities for convex functions via newly defined quantum integrals (2020, methodology): “If we use the same methods in the proof of Theorem 5 by considering the equality (11) instead of (6), the required inequality (22) can be obtained.”