Results 1 to 10 of about 72 (68)

Newton–Simpson-type inequalities via majorization

Journal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt, Iram Javed, Praveen Agarwal, Juan J. Nieto   +3 more
doaj   +2 more sources

INTEGRAL INEQUALITIES OF SIMPSON TYPE VIA WEIGHTED INTEGRALS

Проблемы анализа, 2023
In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of pℎ, 𝑚, 𝑠q-convex functions of the second type.
J. E. Napoles, M. N. Quevedo Cubillos, B. Bayraktar   +2 more
doaj   +4 more sources

On Fractional Simpson-Type Inequalities via Harmonic Convexity

Mathematics
In this paper, we establish some Simpson-type inequalities within the framework of Riemann–Liouville fractional calculus, specifically tailored for differentiable harmonically convex functions.
Li Liao, Abdelghani Lakhdari, Hongyan Xu, Badreddine Meftah   +3 more
doaj   +2 more sources

Simpson type inequalities and applications [PDF]

The Journal of Analysis, 2021
AbstractA new generalized integral identity involving first order differentiable functions is obtained. Using this identity as an auxiliary result, we then obtain some new refinements of Simpson type inequalities using a new class called as strongly (s, m)-convex functions of higher order of $$\sigma >0$$ σ
Awan, Muhammad Uzair, Javed, Muhammad Zakria, Rassias, Michael Th, Noor, Muhammad Aslam, Noor, Khalida Inayat   +4 more
openaire   +2 more sources

Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set

Fractal and Fractional, 2022
The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari, Wedad Saleh, Badreddine Meftah, Akhlad Iqbal   +3 more
doaj   +1 more source

New version of fractional Simpson type inequalities for twice differentiable functions

Advances in Difference Equations, 2021
Simpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al.
Fatih Hezenci, Hüseyin Budak, Hasan Kara   +2 more
doaj   +1 more source

Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule

Mathematics, 2023
Simpson’s rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives are bounded, we acquire the upper and lower bounds for the Simpson-type inequalities by means ...
Hüseyin Budak, Fatih Hezenci, Hasan Kara, Mehmet Zeki Sarikaya   +3 more
doaj   +1 more source

Simpson type inequalities via φ–convexity [PDF]

AIP Conference Proceedings, 2016
In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $ $-convex.
Ozdemir, MUHAMET EMİN, Akdemir, A. Ocak, ARDIÇ, MERVE AVCI   +2 more
openaire   +3 more sources

Simpson type inequalities for Q- class functions [PDF]

AIP Conference Proceedings, 2012
4 ...
GÜRBÜZ, MUSTAFA, Ekinci, Alper, Ozdemir, M. Emin, AKDEMİR, AHMET OCAK   +3 more
openaire   +4 more sources

Ostrowski and Simpson type inequalities for multiplicative integrals

Proyecciones (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, Hüseyin Budak, Mehmet Zeki Sarikaya, Zhiyue Zhang   +3 more
openaire   +4 more sources