Results 11 to 20 of about 468,072 (97)
Generalized Steffensen’s inequality by Montgomery identity
Journal of Inequalities and Applications, 2019 By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt +3 more
doaj +2 more sources
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
doaj +3 more sources
Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
doaj +2 more sources
Generalized Steffensen’s Inequality by Fink’s Identity
Mathematics, 2019 By using Fink’s Identity, Green functions, and Montgomery identities we prove some identities related to Steffensen’s inequality. Under the assumptions of n-convexity and n-concavity, we give new generalizations of Steffensen’s ...
Asfand Fahad +2 more
doaj +2 more sources
Generalized Steffensen Inequalities for Local Fractional Integrals [PDF]
International Journal of Analysis and Applications, 2017 Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya +2 more
doaj +3 more sources
Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals [PDF]
International Journal of Analysis and Applications, 2017 In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals.
Tuba Tunç +2 more
doaj +3 more sources
Mathematics, 2021 The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature.
Ahmed A. El-Deeb, Jan Awrejcewicz
doaj +1 more source
An Analytical Study on Two High‐Order Hybrid Methods to Solve Systems of Nonlinear Equations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In order to solve systems of nonlinear equations, two novel iterative methods are presented. The successive over‐relaxation method and the Chebyshev‐like iterative methods to solve systems of nonlinear equations have combined to obtain the new algorithms. By this combination, two powerful hybrid methods are obtained.
Hooman Darvishi +2 more
wiley +1 more source
On Some New Weighted Steffensen-Type Inequalities on Time Scales
Mathematics, 2021 The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pečarić and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond-α dynamic integral on time ...
Ahmed A. El-Deeb +2 more
doaj +1 more source
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 Fractional calculus is widely used in biology, control systems, and engineering, so it has been highly valued by scientists. Fractional differential equations are considered an important mathematical model that is widely used in science and technology to describe physical phenomena more accurately in terms of time memory and spatial interactions.
Lijun Ma, Arpit Bhardwaj
wiley +1 more source