Results 41 to 50 of about 6,202,679 (144)
Fractal and Fractional, 2023 In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, and Pachpatte-type inequalities.
Muhammad Bilal Khan +3 more
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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
wiley +1 more source
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
wiley +1 more source
New classes of generalized invex monotonicity [PDF]
, 2006 This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.
Zhu DL, Xu B, B. Xu, D. L. Zhu
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Approximations of objective function and constraints in bi-criteria optimization problems
Journal of Numerical Analysis and Approximation Theory, 2018 In this paper we study approximation methods for solving bi-criteria optimization problems. Initial problem is approximated by a new one which has the components of the objective and the constraints are replaced by their approximation functions ...
Traian Ionut Luca, Dorel I. Duca
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Journal of Inequalities and Applications, 2017 In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some examples are presented to illustrate their existences.
Zhen Wang, Ru Li, Guolin Yu
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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
wiley +1 more source
Invex programming problems with equality and inequality constraints
, 2018 The class of functions is known as invex function (invariant convex) in the literature and the name derives from the fact that the convex like property of such functions remains invariant under all diffeomorphisms of [Formula presented] into [Formula ...
null Deepmala +5 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
wiley +1 more source