Inequalities convex functions on fractal sets
WebIn mathematics, a random compact set is essentially a compact set-valued random variable.Random compact sets are useful in the study of attractors for random dynamical systems.. Definition. Let (,) be a complete separable metric space.Let denote the set of all compact subsets of .The Hausdorff metric on is defined by (,):= {(,), (,)}.(,) is also а … Web7 feb. 2024 · Abstract: This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex …
Inequalities convex functions on fractal sets
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Webfield theory. Pseudolinear Functions and Optimization - Dec 14 2024 Pseudolinear Functions and Optimization is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. It discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems. WebGeneralized Convex Functions on Fractal Sets and Two Related Inequalities Huixia Mo1, Xin Sui2 and Dongyan Yu3 1,2,3School of Science, Beijing University of Posts and …
Web16 sep. 2024 · We now present the concept of generalized p -convex functions on fractal space as follows. Definition 3.1 Let p\in \mathbb {R}\setminus \ {0\}. Then \chi :\Omega = [\varkappa _ {1},\varkappa _ {2}]\rightarrow \mathbb {R}^ { \dot {\alpha }} is said to be generalized p -convex if the inequality WebThe most notable inequality pertaining convex functions is Jensen’s inequality which has tremendous applications in several fields. Mercer introduced an important variant of Jensen’s inequality called as Jensen–Mercer’s inequality. Fractal sets are useful tools for describing the accuracy of inequalities in convex functions.
Web7 nov. 2024 · Some Hermite–Hadamard and Jensen type inequalities for strongly h-convex functions were obtained also in [1, 23]. In this paper, we establish some … Web4 feb. 2024 · We introduce a generalization of the concept of a strongly convex function on a fractal set, study some algebraic properties and establish Jensen-type and Hermite …
Web12 mrt. 2024 · The Hermite–Hadamard inequality related to E-convex functions is presented in [7]. Theorem 2 ([7]). Let us assume that E : I1 R ! ... The investigation and …
Web3 jan. 2024 · Journal of Inequalities and Applications In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is … 2k上不去WebWe introduce the generalized convex function on fractal sets Rα (0 2k三玖壁纸Web6 apr. 2024 · In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local ... 2k下载更新慢Web29 nov. 2024 · The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To … 2kva 発電機 燃料消費量Web19 jun. 2024 · On the fractal set, Mo et al. [7, 8] introduced the definition of the generalized convex function and established Hermite–Hadamard-type inequality. In , the authors introduced two kinds of generalized s-convex functions on fractal sets \(\mathbb {R}^{\alpha }(0<\alpha <1).\) The definitions of the generalized s-convex functions are … 2k不清晰WebThe purpose of this paper is to establish a generalized Jensen–Mercer inequality for a generalized convex function on a real linear fractal set ℝα(0 2k下载速度Web7 nov. 2024 · Under the h -convex concept, we present new Jensen type inequalities for interval-valued functions. The second objective of the article is to promote the following inequality which is known as the Hermite–Hadamard inequality [ 21, 22 ]: f \biggl (\frac {a+b} {2} \biggr) \leq \frac {1} {b-a} \int^ {b}_ {a}f (x)\,dx \leq \frac {f (a)+f (b)} {2}, 2k不更新