Results 11 to 20 of about 5,307 (157)
Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Journal of Function SpacesThis article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri +3 more
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Alexandria Engineering Journal, 2023 The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo +4 more
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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity
Mathematics, 2021 We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
Anita Matković
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Australian Journal of Social Issues, Volume 58, Issue 3, Page 573-591, September 2023., 2023 Abstract In this study, we investigated people's perceptions about the causes (i.e. attributions) of underachievement among students experiencing socioeconomic disadvantage and their support for public assistance to those students. Results of an online survey conducted with Australian adults (N = 1999) revealed that people preferred societal ...
Jung‐Sook Lee +2 more
wiley +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
Geographies of peri‐urbanization in the global south
Geography Compass, Volume 16, Issue 7, July 2022., 2022 Abstract The term peri‐urbanization has been widely used to describe a range of different processes that transform rural areas to a mix of rural and urban spaces. Although there is a burgeoning literature on peri‐urbanization, the conceptual debate about peri‐urbanization's distinction from urbanization is rarely considered.
Alexander Follmann
wiley +1 more source
On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions
Axioms, 2022 In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions.
Ifra Bashir Sial +4 more
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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On uniqueness for the critical wave equation [PDF]
, 2006 We prove the uniqueness of weak solutions to the critical defocusing wave equation in 3D under a local energy inequality condition. More precisely, we prove the uniqueness of $ u \in L^\infty\_t(\dot{H}^{1})\cap \dot{W}^{1,\infty}\_t(L^2)$, under the ...
Masmoudi, Nader, Planchon, Fabrice
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Exponential convexity for Jensen’s inequality for norms [PDF]
, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Josip Pečarić +2 more
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