Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications
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DOI: 10.2298/fil2003751l
Abstract: We establish a Simpson type identity and several Simpson type inequalities for Riemann– Liouville fractional integrals. As applications, we apply the obtained results to special means of real numbers, an error estimate for Simpson type… read more here.
Keywords: riemann liouville; liouville fractional; simpson type; simpson ... See more keywords
New Simpson's Type Estimates for Two Newly Defined Quantum Integrals
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DOI: 10.3390/sym14030548
Abstract: In this paper, we give some correct quantum type Simpson’s inequalities via the application of q-Hölder’s inequality. The inequalities of this study are compatible with famous Simpson’s 1/8 and 3/8 quadrature rules for four and… read more here.
Keywords: quantum; new simpson; type estimates; simpson type ... See more keywords
Multiplicatively Simpson Type Inequalities via Fractional Integral
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DOI: 10.3390/sym15020460
Abstract: Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a… read more here.
Keywords: fractional integral; calculus; simpson type; type inequalities ... See more keywords