Results 21 to 30 of about 224 (90)
Uniform Treatment of Jensen’s Inequality by Montgomery Identity
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality.
Tahir Rasheed +5 more
wiley +1 more source
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 +1 more source
Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n‐convex function is deduced from Jensen’s inequality involving diamond integrals. Special Hermite conditions, including Taylor two‐point formula and Lagrange’s interpolation, are also deployed to find further extensions of Jensen’s functional.
Rabia Bibi +4 more
wiley +1 more source
Steffensen Type Inequalites for Convex Functions on Borel σ-Algebra
Mathematics, 2021 In the paper, we prove Steffensen type inequalities for positive finite measures by using functions which are convex in point. Further, we prove Steffensen type inequalities on Borel σ-algebra for the function of the form f/h which is convex in point. We
Ksenija Smoljak Kalamir
doaj +1 more source
High Performance Multidimensional Iterative Processes for Solving Nonlinear Equations [PDF]
, 2023 [ES] En gran cantidad de problemas de la matemática aplicada, existe la necesidad de resolver ecuaciones y sistemas no lineales, dado que numerosos problemas, finalmente, se reducen a estos. Conforme aumenta la dificultad de los sistemas, la obtención de
Triguero Navarro, Paula
core +1 more source
, 2020 Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians.
Furuichi, Shigeru
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Applied Mathematics in Science and Engineering, 2023 Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan +4 more
doaj +1 more source
A multistep Steffensen-type method for solving nonlinear systems of equations [PDF]
, 2020 [EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation of the classical high-order ...
0000-0002-6991-5706 +7 more
core +1 more source
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 +1 more source
Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes [PDF]
, 2014 The modern Markov chain models of ionic channels in excitable membranes are numerically stiff. The popular numerical methods for these models require very small time steps to ensure stability. Our objective is to formulate and test two methods addressing
Biktashev, Vadim N., Stary, Tomas
core +2 more sources