Inequalities convex functions on fractal sets
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 Web1 sep. 2016 · In this paper, some new Jensen and Hermite-Hadamard inequalities for h-convex functions on fractal sets are obtained. Results proved in this paper may …
Inequalities convex functions on fractal sets
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WebDownloadable (with restrictions)! In this research, we study some algebraic and topological properties of generalized m-convex functions on fractal sets and establish a new … Web1 sep. 2024 · This article aims to investigate certain inequalities for generalized h-convexity on fractal sets R α, which are related to the famous Fejér–Hermite–Hadamard inequality. For this purpose, two identities for local differentiable mappings are established, based on which we provide certain estimates for the difference between the left and …
Web17 jul. 2014 · In , the authors introduced the generalized convex function on fractal sets and established the generalized Jensen inequality and generalized Hermite-Hadamard … WebSome properties of generalized h -convex functions are discussed. Lastly, some generalized Hadamard-type inequalities of these classes functions are given. Keywords: Generalized h -Convex Function Generalized Godunova–Levin Function Generalized P -Function Hermite–Hadamard-Type Inequalities Fractal Sets Published: March 30, 2024
Web7 mei 2024 · In this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish some integral inequalities for the multiplicative tempered fractional integrals involving … 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},
WebIn the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically --convex functions based on fractal set technique for …
Web5 aug. 2024 · Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual … goldfinch novelistWebIn 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 … goldfinch obituaries murrells inletWeb12 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 advancement of local fractional functions in fractal sets, including local fractional calculus and function monotonicity, are extensively studied by Yang in [20]. headache between eyes meaningWebThere is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the … goldfinch oak belfastWeb23 jul. 2024 · In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. goldfinch nyWeb15 jun. 2014 · We introduce the generalized convex function on fractal sets Rα (0 goldfinch nzWebWe introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we … headache bilateral temporal region