1. Some trapezoid and midpoint type inequalities via fractional (p,q)-calculus.
- Author
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Neang, Pheak, Nonlaopon, Kamsing, Tariboon, Jessada, Ntouyas, Sotiris K., and Agarwal, Praveen
- Subjects
FRACTIONAL calculus ,TRAPEZOIDS ,MATHEMATICAL analysis ,CONTINUOUS functions - Abstract
Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q-trapezoid and q-midpoint type inequalities. Fractional (p , q) -calculus on finite intervals, particularly the fractional (p , q) -integral inequalities, has been studied. In this paper, we study two identities for continuous functions in the form of fractional (p , q) -integral on finite intervals. Then, the obtained results are used to derive some fractional (p , q) -trapezoid and (p , q) -midpoint type inequalities. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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