Makale detayı · 2021
New version of fractional Simpson type inequalities for twice differentiable functions
- Yıl
- 2021
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Advances in Difference Equations
- Katalog eşleşmesi (ISSN) Advances in Difference Equations
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Abstract Simpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al. established the first result on fractional Simpson inequality for twice differentiable functions. In the present article, we prove a new identity for twice differentiable functions. In addition to this, we establish several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. This paper is a new version of fractional Simpson type inequalities for twice differentiable functions.
Konular
Atıflar
OpenAlex cited_by_count. WoS veya Scopus atıf sayısı değildir; o kaynaklar için ayrı kolon yoktur.
78 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 57 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- A new version of Newton's inequalities for Riemann-Liouville fractional integrals 2023
- New Simpson type inequalities for twice differentiable functions via generalized fractional integrals 2022
- New Simpson type inequalities for twice differentiable functions via generalized fractional integrals 2022
- Some New Simpson’s-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators 2021
- Some new Simpson's-Formula-Type inequalities for twice-dfferentiable convex functions via generalized fractional operators 2021
- A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator 2023
- A Note on Fractional Simpson Type Inequalities for Twice Differentiable Functions 2023
- Some Perturbed Newton type Inequalities for Riemann-Liouville fractional integrals 2023
- Some novel inequalities of Weddle’s formula type for Riemann–Liouville fractional integrals with their applications to numerical integration 2025
- Some parameterized Simpson’s type inequalities for differentiable convex functions involving generalized fractional integrals 2022