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Some trapezoid and midpoint type inequalities via fractional $(p,q)$-calculus

Some trapezoid and midpoint type inequalities via fractional $(p,q)$-calculus

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 $(p,q)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:math> -calculus on finite …