Results 31 to 40 of about 70 (65)

A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, 2016
AbstractA sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral $\int_a^b {f(t)\;du(t)} $, where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
openaire   +3 more sources

Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound

Mathematische Nachrichten, Volume 297, Issue 5, Page 1749-1771, May 2024.
Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
wiley   +1 more source

New Developments of Hermite–Hadamard Type Inequalities via s‐Convexity and Fractional Integrals

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s‐convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are s‐convex ...
Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela, Kenan Yildirim   +4 more
wiley   +1 more source

A companion of Ostrowski type integral inequality using a 5-step kernel with some applications

Filomat, 2016
The aim of this paper is to establish a new version of Ostrowski?s type integral inequality. The results are obtained by using a new type of kernel with five sections. Applications to a composite quadrature rule and to Cumulative Distributive Functions are considered.
Ather Qayyum, Muhammad Shoaib, Ibrahima Faye   +2 more
openaire   +2 more sources

Determination of Novel Estimations for the Slater Difference and Applications

Complexity, Volume 2024, Issue 1, 2024.
The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan, Hidayat Ullah, Tareq Saeed, Zaid M. M. M. Sayed, Salha Alshaikey, Emad E. Mahmoud, Daniel Maria Busiello   +6 more
wiley   +1 more source

PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS'

, 2016
In this paper, some perturbed companion of Ostrowski type integral inequalities for functions whose second derivatives are either bounded or of bounded variation are established.
Sarikaya, Mehmet Zeki, Budak, Huseyin, Tunc, Tuba, Erden, Samet, Yaldiz, Hatice   +4 more
openaire   +5 more sources

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

Arab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.
ÖZDEMİR, MUHAMET EMİN, AVCI ARDIÇ, MERVE   +1 more
openaire   +5 more sources

Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and applications

Filomat, 2017
The main aim of this paper is to obtain a improved and generalized version of companion of Ostrowski type integral inequalities for mappings whose first derivatives are of bounded variation. Some previous results are also recaptured as special cases. New quadrature formulae are also provided.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki, Qayyum, Ather   +2 more
openaire   +3 more sources

A refinement of the companion of Ostrowski inequality for functions of bounded variation and applications

, 2012
In this paper we establish a refinement of the companion of Ostrowski inequality for functions of bounded variation. Applications for the trapezoid inequality, the mid-point inequality, and to probability density functions are also given.
Liu, Wenjun, Sun, Yun
openaire   +2 more sources