Results 21 to 30 of about 73,742 (169)
Construction of New Ostrowski’s Type Inequalities By Using Multistep Linear Kernel
Cumhuriyet Science Journal, 2023 In this paper, we construct a generalisation of Ostrowski’s type inequalities with the help of new identity. By using this identity, we construct further results for ģ^'∈L^1 [c ̇,d ̆ ],ģ^'∈L^2 [c ̇,d ̆ ],ģ^''∈L^2 [c ̇,d ̆ ].
Yasır Qayyum +3 more
doaj +1 more source
On Inequalities for q‐h‐Integrals via Convex Functions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to investigate unified versions of the well‐known Hermite–Hadamard inequality by considering q‐h‐integrals and properties of convex functions. Currently published results for q‐integrals can be deduced from inequalities of this paper. Moreover, some new results are presented in terms of corollaries.
Yonghong Liu +6 more
wiley +1 more source
An Ostrowski-Grüss type inequality on time scales [PDF]
Computers and Mathematics with Applications, 2008 We derive a new inequality of Ostrowski-Gruss type on time scales by using the Gruss inequality on time scales and thus unify corresponding continuous and discrete versions. We also apply our result to the quantum calculus case.
Wenjun Liu, Qú Ôc-Anh Ngô
semanticscholar +1 more source
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann‐Liouville (RL) fractional integral operator, new Hadamard‐type inequalities are proved for exponentially convex functions
Ahmet Ocak Akdemir +4 more
wiley +1 more source
Big data, computational science, economics, finance, marketing, management, and psychology: connections [PDF]
, 2018 The paper provides a review of the literature that connects Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology, and discusses some research that is related to the seven disciplines.
Chang, Chia-Lin +2 more
core +15 more sources
New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
wiley +1 more source
Journal of Inequalities and Applications, 2013 In this paper, we establish a generalized Ostrowski-Grüss type inequality for differentiable mappings using the weighted Grüss inequality which is another generalization of inequalities established and discussed by Barnett et al.
S. Hussain, A. Qayyum
semanticscholar +2 more sources
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity. Fraction integral operators also become an important tool for solving problems of model physical and ...
Hengxiao Qi +4 more
wiley +1 more source
A generalized form of Grüss type inequality and other integral inequalities
Journal of Inequalities and Applications, 2014 The aim of this presentation is to show several integral inequalities. Among these inequalities we have the inequality varh(f)≤(Γ1−Mh[f])(Mh[f]−γ1), where varh(f) denotes the h-variance of f, which is a bounded function defined on [a,b] with γ1≤f(x)≤Γ1 ...
N. Minculete, L. Ciurdariu
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General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
doaj +1 more source