Fractal Hadamard-Mercer-Type inequalities with applications
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard-Mercer-type inequalities on fractal sets R? (0 < ? ? 1) by employing generalized convex function. We establish two new lemmas involving local fractional integrals. By using these lemmas, we obtain several results related to generalized Hadamard-Mercer-type integral inequalities for local differentiable generalized convex functions on real linear fractal space. Finally, we give applications for probability density functions and compute new generalized means.
Açıklama
Anahtar Kelimeler
Fractal Space; Generalized Convex Function; Generalized Hermite-Hadamard Inequality; Jensen-Mercer Inequality; Local Fractional Derivative; Local Fractional Integral
Kaynak
Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
30
Sayı
2
