Results 21 to 30 of about 634,454 (209)

Simpson Type Conformable Fractional Inequalities

open access: yesJournal of Function Spaces, 2022
In this study, a new Simpson type conformable fractional integral equality for convex functions is established. Based on this identity, some results related to Simpson-like type inequalities are obtained. Also, some estimation results are given for the special cases of the derivative of a function used in our results, and some applications are ...
openaire   +2 more sources

Ostrowski and Simpson type inequalities for multiplicative integrals

open access: yesProyecciones (Antofagasta), 2021
In this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, we establish Ostrowski and Simpson type inequalities for multiplicative integrals. At the end we give detail applications of our main results.
Muhammad Aamir Ali   +3 more
openaire   +4 more sources

New Majorized Fractional Simpson Estimates

open access: yesAxioms, 2023
Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding   +4 more
doaj   +1 more source

Raina's Function-Based Formulations of Right-Sided Simpson's and Newton's Inequalities for Generalized Coordinated Convex Functions

open access: yesSymmetry, 2023
The main focus of this article is to derive some new counterparts to Simpson’s and Newton’s type inequalities involve a class of generalized coordinated convex mappings. This class contains several new and known classes of convexity as special cases. For
Miguel J. Vivas-Cortez   +3 more
semanticscholar   +1 more source

Some New Simpson's-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators

open access: yesSymmetry, 2021
From the past to the present, various works have been dedicated to Simpson’s inequality for differentiable convex functions. Simpson-type inequalities for twice-differentiable functions have been the subject of some research.
M. Ali   +5 more
semanticscholar   +1 more source

A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities

open access: yesJournal of Inequalities and Applications, 2023
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

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

open access: yesSymmetry, 2022
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 six panels, respectively ...
Muhammad Raees   +5 more
semanticscholar   +1 more source

Integral inequalities of Simpson type via weighted integrals

open access: yesIssues of Analysis, 2023
Summary: In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of \((h, m, s)\)-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.
BAYRAKTAR, BAHTİYAR   +2 more
openaire   +4 more sources

An Inequality of Simpson's type Via Quasi-Convex Mappings with Applications [PDF]

open access: yesInnovative Journal of Mathematics, 2016
In this paper, an inequality of Simpson type for quasi-convex mappings is proved. The constant in the classical Simpson's inequality is improved. Furthermore, the obtained bounds can be (much) better than some recent obtained bounds.
M. Alomari
semanticscholar   +1 more source

Fractional Simpson-type inequalities for twice differentiable functions

open access: yesSahand Communications in Mathematical Analysis, 2023
Summary: In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions.
Budak, Hueseyin   +2 more
openaire   +4 more sources

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