Results 21 to 30 of about 30,526 (192)

New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators

Journal of Mathematics, 2020
In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang, Saad Ihsan Butt, Waqas Nazeer, Mehroz Nadeem, Jamshed Nasir, Hong Yang   +5 more
doaj   +1 more source

Impact of socioeconomic deprivation on rate and cause of death in severe mental illness [PDF]

, 2014
Background: Socioeconomic status has important associations with disease-specific mortality in the general population. Although individuals with Severe Mental Illnesses (SMI) experience significant premature mortality, the relationship between ...
AC Phillips, AJ Kposowa, AP Weiss, B Schneider, C Crump, C-K Chang, CW Colton, D Lawrence, D Osborn, DA Regier, Daniel J Martin, Daniel J Smith, DJ Gunnell, DJ Smith, DJ Smith, DN Baxter, DP Osborn, E Scafato, E Tran, E Van Doorslaer, G McCartney, Gary McLean, GK Singh, I Stirbu, J Park, John Park, Julie Langan Martin, K Barnett, K Hawton, K Wahlbeck, M DE Hert, Moira Connolly, NE Morden, P Congdon, PG Surtees, R Taylor, RA Payne, S Aro, S Oksbjerg Dalton, S Strickland, SD Rosenberg, SM Frayne, Stewart W Mercer, TJ Lambert, TM Laursen, TM Laursen, U Hoang, VS Catts   +47 more
core   +2 more sources

k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications

Journal of Function Spaces, 2021
This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. Two new auxiliary results are derived to govern the novel fractional
Saad Ihsan Butt, Jamshed Nasir, Shahid Qaisar, Khadijah M. Abualnaja   +3 more
doaj   +1 more source

New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

Journal of Inequalities and Applications, 2023
In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad, Soubhagya Kumar Sahoo, Kottakkaran Sooppy Nisar, Savin Treanţă, Homan Emadifar, Thongchai Botmart   +5 more
doaj   +1 more source

On a variant of the Jensen-Mercer inequality for operators [PDF]

Journal of Mathematical Inequalities, 2008
Some refinements of the Jensen-Mercer inequality for operators are presented. Obtained results are used to refine some comparision inequalities between power and quasi-arithmetic means for operators.
Matković, Anita, Pečarić, Josip
openaire   +2 more sources

Positive semi-definite embedding for dimensionality reduction and out-of-sample extensions

, 2020
In machine learning or statistics, it is often desirable to reduce the dimensionality of a sample of data points in a high dimensional space $\mathbb{R}^d$.
Aspeel, Antoine, Delvenne, Jean-Charles, Fanuel, Michaël, Suykens, Johan A. K.   +3 more
core   +2 more sources

Exploration of Quantum Milne–Mercer-Type Inequalities with Applications

Symmetry, 2023
Quantum calculus provides a significant generalization of classical concepts and overcomes the limitations of classical calculus in tackling non-differentiable functions. Implementing the q-concepts to obtain fresh variants of classical outcomes is a very intriguing aspect of research in mathematical analysis.
Bandar Bin-Mohsin, Muhammad Zakria Javed, Muhammad Uzair Awan, Awais Gul Khan, Clemente Cesarano, Muhammad Aslam Noor   +5 more
openaire   +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, Nichaphat Patanarapeelert, Muhammad Aamir Ali, Hüseyin Budak, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

On an Inequality of Diananda, II [PDF]

, 2002
We extend the result in part I ( Int. J. Math. Math. Sci., 2003(2003), 2061-2068; MR1990724 (2004f:26027) ) of certain inequalities among the generalized power ...
Gao, Peng
core   +4 more sources

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source