The Multi-Parameter Fractal-Fractional Inequalities For Fractal (P,M)-Convex Functions
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Local fractional calculus theory and parameterized method have greatly assisted in the advancement of the field of inequalities. To continue its enrichment, this study investigates the multi-parameter fractal-fractional integral inequalities containing the fractal (P,m)-convex functions. Initially, we formulate the new conception of the fractal (P,m)-convex functions and work on a variety of properties. Through the assistance of the fractal-fractional integrals, the 2l-fractal identity with multiple parameters is established, and from that, integral inequalities are inferred regarding twice fractal differentiable functions which are fractal (P,m)-convex. Furthermore, a few typical and novel outcomes are discussed and visualized for specific parameter values, separately. It concludes with some applications in respect of the special means, the quadrature formulas and random variable moments, respectively.
Açıklama
Anahtar Kelimeler
Fractal (P,m)-Convex Functions, Multi-Parameter Integral Inequalities, Local Fractional Theory, Hadamard Type Inequalities, Simpson-Type Inequalities, Convex-Functions, Integral-Inequalities
Kaynak
Fractals-Complex Geometry Patterns And Scaling in Nature And Society
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
32
Sayı
1
