Results 61 to 70 of about 278 (165)

Identification of a human blood biomarker of pharmacological 11β‐hydroxysteroid dehydrogenase 1 inhibition

open access: yesBritish Journal of Pharmacology, Volume 181, Issue 5, Page 698-711, March 2024.
Abstract Background and Purpose 11β‐Hydroxysteroid dehydrogenase‐1 (11β‐HSD1) catalyses the oxoreduction of cortisone to cortisol, amplifying levels of active glucocorticoids. It is a pharmaceutical target in metabolic disease and cognitive impairments. 11β‐HSD1 also converts some 7oxo‐steroids to their 7β‐hydroxy forms.
Cristina Gómez   +8 more
wiley   +1 more source

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

open access: yesJournal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu   +8 more
wiley   +1 more source

G-pre-invex functions in mathematical programming

open access: yesJournal of Computational and Applied Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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

open access: yesJournal 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   +4 more
wiley   +1 more source

Some Characterizations of General Preinvex Functions

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, we consider a new class of general preinvex functions involving an arbitrary function. We show that the optimality condition for general preinvex functions on general invex set can be characterized by a class of variational-like inequality.
Muhammad Uzair Awan   +3 more
doaj   +2 more sources

Pre-invex functions in multiple objective optimization

open access: yesJournal of Mathematical Analysis and Applications, 1988
A class of functions, called pre-invex, is examined in relation to multiple objective optimization. These functions may be considered as a generalization of convexity and when differentiable are invex. It is shown that, in most places, any assumption of convexity in multiple objective optimization may be replaced by the weaker assumption of pre ...
Weir, T, Mond, B
openaire   +2 more sources

Continuous-time optimization problems involving invex functions

open access: yesJournal of Mathematical Analysis and Applications, 2007
The authors study continuous-time nonlinear programming problem and show that the notion of Karush-Kuhn-Tucker (KKT) invexity, introduced by \textit{D. H. Martin} [J. Optimization Theory Appl. 47, 65--76 (1985; Zbl 0552.90077)] is a necessary and sufficient condition for a global optimality of a KKT point.
de Oliveira, V.A., Rojas-Medar, M.A.
openaire   +1 more source

Hermite-Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex

open access: yesLe Matematiche, 2014
In the paper, the authors establish some new Hermite-Hadamard type integral inequalities when the power of the absolute value of the first derivative of the integrand is preinvex.
Yan Wang, Bo-Yan Xi, Feng Qi
doaj  

New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along ...
Kashuri Artion, Liko Rozana
doaj   +1 more source

Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, the notion of generalized (s; m; ξ)-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized (s; m; ξ)-preinvex functions along with beta ...
Kashuri Artion, Liko Rozana
doaj   +1 more source

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