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   Articles with "simpson type" as a keyword



New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals

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recommendations! Published in 2024 at "Experimental Mathematics"

DOI: 10.1080/10586458.2024.2380760

Abstract: Abstract In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals.… read more here.

Keywords: simpson type; ordinated convex; generalized conformable; conformable integrals ... See more keywords

Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications

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recommendations! Published in 2020 at "Filomat"

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

On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12243886

Abstract: In this paper, we introduce a novel fractal–fractional identity, from which we derive new Simpson-type inequalities for functions whose first-order local fractional derivative exhibits generalized s-convexity in the second sense. This work introduces an approach… read more here.

Keywords: simpson type; fractal fractional; fractional simpson; type inequalities ... See more keywords

New Simpson's Type Estimates for Two Newly Defined Quantum Integrals

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recommendations! Published in 2022 at "Symmetry"

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
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Multiplicatively Simpson Type Inequalities via Fractional Integral

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recommendations! Published in 2023 at "Symmetry"

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

pq-Simpson's Type Inequalities Involving Generalized Convexity and Raina's Function

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recommendations! Published in 2024 at "Symmetry"

DOI: 10.3390/sym16040457

Abstract: This study uses Raina’s function to obtain a new coordinated pq-integral identity. Using this identity, we construct several new pq-Simpson’s type inequalities for generalized convex functions on coordinates. Setting p1=p2=1 in these inequalities yields well-known… read more here.

Keywords: simpson type; type inequalities; raina function;