
<abstract><p>The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-known Hölder inequality and the inequality of exponent mean. The subsequent STIS are a generalization of several works on this topic that use the fractional integrals of Riemann-Liouville (FIsRL). Moreover, distinctive outcomes can be achieved through unique selections of the parameters.</p></abstract>
convex functions, Generalization, fractional integrals, Geometry, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Operator Inequalities, Fractional Integrals, Convex function, QA1-939, FOS: Mathematics, simpson-type inequalities, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, tempered fractional integrals, Exponent, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, Linguistics, Applied mathematics, FOS: Philosophy, ethics and religion, Regular polygon, Philosophy, Inequality, riemann-liouville fractional integrals, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, FOS: Languages and literature, Medicine, Calculus (dental), Type (biology), Mathematics
convex functions, Generalization, fractional integrals, Geometry, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Operator Inequalities, Fractional Integrals, Convex function, QA1-939, FOS: Mathematics, simpson-type inequalities, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, tempered fractional integrals, Exponent, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, Linguistics, Applied mathematics, FOS: Philosophy, ethics and religion, Regular polygon, Philosophy, Inequality, riemann-liouville fractional integrals, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, FOS: Languages and literature, Medicine, Calculus (dental), Type (biology), Mathematics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 4 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
