Results 21 to 30 of about 1,975,121 (294)
Axioms, 2019 We present new results in interval analysis (IA) and in the calculus for interval-valued functions of a single real variable. Starting with a recently proposed comparison index, we develop a new general setting for partial order in the (semi linear ...
Luciano Stefanini +2 more
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Mathematics, 2022 There is no doubt that convex and non-convex functions have a significant impact on optimization. Due to its behavior, convexity also plays a crucial role in the discussion of inequalities. The principles of convexity and symmetry go hand-in-hand. With a
W. Afzal, A. Alb Lupaș, Khurram Shabbir
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Constructive Approximation of Continuous Interval-Valued Functions
Numerical Functional Analysis and Optimization, 2021 In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. Namely, we provide a constructive proof of the approximation.
Juan J. Font, Sergio Macario
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Fractal and Fractional, 2022 Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan +2 more
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On Ekeland's variational principle for interval-valued functions with applications [PDF]
Fuzzy Sets Syst., 2021 In this paper, we obtain a version of Ekeland’s variational principle for interval-value functions by means of the Dancs-Hegedüs-Medvegyev theorem [14].
Chuangliang Zhang, N. Huang
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Complex & Intelligent Systems, 2021 In this paper, our aim is to consider the new class of log-convex fuzzy-interval-valued function known as log- s -convex fuzzy-interval-valued functions (log- s -convex fuzzy-IVFs).
Peide Liu +3 more
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Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions
Mathematics, 2022 We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann ...
Kin Keung Lai +3 more
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Some General Fractional Integral Inequalities Involving LR–Bi-Convex Fuzzy Interval-Valued Functions
Fractal and Fractional, 2022 The main objective of this paper is to introduce a new class of convexity called left-right–bi-convex fuzzy interval-valued functions. We study this class from the perspective of fractional Hermite–Hadamard inequalities, involving a new fractional ...
Bandar Bin-Mohsin +6 more
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Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
Computational and Applied Mathematics, 2022 In this paper, a new generalized Hukuhara differentiability concept for interval-valued functions defined on Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Rafaela Osuna Gómez +3 more
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Symmetry, 2022 The relevance of convex and non-convex functions in optimization research is well known. Due to the behavior of its definition, the idea of convexity also plays a major role in the subject of inequalities.
Muhammad Bilal Khan +4 more
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