On HT-convexity and Hadamard-type inequalities

Abstract

In the paper, the authors define a new notion of "HT-convex function", present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic mean and the p-logarithmic mean. These results generalize corresponding ones for HA-convex functions and MT-convex functions.

Mechanistic and Electronic Insights into a Working NiAu Single-Atom Alloy Ethanol Dehydrogenation Catalyst

“…Related to this, previous normal XANES analyses of other Ni-based (NiCu, NiIr) SAAs concluded that Ni atoms in those cases were present in the metallic state. 19,62 While it is possible that no shift in edge position or drop of the white line intensity occurs in NiCu or NiIr SAAs and that Ni atoms exist in a neutral state in these cases due to the lower electronegativity of Cu (1.90), it is more probable that such shifts were not visible with conventional XANES. On the contrary, our HERFD XANES data taken on the reduced catalyst suggests that Ni atoms in NiAu SAAs carry a positive charge arising from charge transfer with the Au metal host, in agreement with our DFT results.…”

Refinements of Young's integral inequality via fundamental inequalities and mean value theorems for derivatives

“…When h (x) is strictly increasing, the double inequality (1.12) can be equivalently written as where J ⊆ R is a nonempty interval and τ, µ ∈ J with τ < µ. The double inequality (1.13) is called Hermite-Hadamard's integral inequality for convex functions [7,37,44]. When a > h −1 (b), as showed in Figures 3 and 5, and h (x) is strictly increasing, that is, the function h(x) is convex, as showed in Figures 3 Figure 6.…”

Coordinated MT- s 1 ,Hua1, Wan2, Guo3 2021Journal of Mathematics0000View full textAdd to dashboardCiteIn the paper, the authors introduce a new concept of MT- s 1 , s 2 -convex functions on the coordinates on the rectangle of the plane and establish some new Hermite–Hadamard-type inequalities for this kind of functions.show abstractscite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.Contact Infocustomersupport@researchsolutions.com10624 S. Eastern Ave., Ste. A-614Henderson, NV 89052, USAProductBrowser ExtensionAssistant by sciteCitation Statement SearchReference CheckVisualizationsDashboardsExplore JournalsExplore OrganizationsExplore FundersEmbedding BadgeEmbedding Citation SearchPricingResourcesBlogHelp & FAQAccessibility StatementAPI TermsFor Universities & GovernmentsFor ResearchersFor PublishersFor Corporate, Pharma & EnterpriseAuthor MarketingBecome an AffiliateGet an organization trial or quotescite Data & ServicesAboutNews & PressCareersRead our PaperCoverageThis site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.BlogTerms and ConditionsAPI TermsPrivacy PolicyContactCookie PreferencesDo Not Sell or Share My Personal InformationCopyright © 2024 scite LLC. All rights reserved.Made with 💙 for researchersPart of the Research Solutions Family.

“…In the papers [7][8][9][10][11][12] and closely related references therein, the HT-convexity, GT-convexity, and the (s; m)-P-convexity on the coordinates were introduced and investigated.…”