Results 31 to 40 of about 2,821,191 (109)
w-Invexity and optimality problem
Journal of Taibah University for ScienceAs the development of a family of preinvex functions, we define the w-invex set and a class of real functions. These are functions with the names w-preinvex, w-strictly preinvex, w-prequasi-invex, w-strictly prequasi-invex, w-semi-strictly prequasi-invex,
Musavvir Ali, Ehtesham Akhter
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An eye on long‐duration spaceflight: Controversies, countermeasures and challenges
Experimental Physiology, Volume 111, Issue 9, Page 4004-4014, 1 September 2026.Abstract Space flight‐associated neuroocular syndrome (SANS) is a consequence of long‐duration space flight and is detected in two‐thirds of astronauts. In‐flight, this can cause a change in the refraction of the eyes, requiring graded hypermetropic ‘superfocus adjustable’ glasses, optic nerve head oedema and choroidal folds.
Vincent Wing Sum Ng +1 more
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Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
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Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
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Generalized Geodesic Convexity on Riemannian Manifolds
Mathematics, 2019 We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is ...
Izhar Ahmad +2 more
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Differentiable Preinvex and Prequasiinvex Functions
Universal Journal of Mathematics and Applications, 2020 In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using this identity and the Hölder and Power mean integral inequalities we present new integral inequalities for functions whose ...
Huriye Kadakal
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Inequalities for Products of Two Kinds of Convexities and Consequent Results
Journal of Mathematics, Volume 2026, Issue 1, 2026.The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki +5 more
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Connections between Non-Linear Optimization Problems and Associated Variational Inequalities
Mathematics, 2023 In this paper, by using the invexity (or pseudoinvexity) and Fréchet differentiability of some integral functionals of curvilinear type, we state some relations between the solutions of a new non-linear optimization problem and the associated variational
Savin Treanţă +2 more
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, 2017 In this paper, we introduce and study H-invex functions including the classes of convex, ?-invex, (F,G)-invex, c-strongly convex, ?-uniformly convex and superquadratic functions, respectively.
Marek Niezgoda
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