On Conformable Fractional Schweitzer-Type Inequality
Sahand Communications in Mathematical Analysis, cilt.23, sa.3, ss.189-205, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.22130/scma.2026.2071604.2330
- Dergi Adı: Sahand Communications in Mathematical Analysis
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.189-205
- Anahtar Kelimeler: Cauchy–Schwarz inequality, Concave functions, Conformable fractional integrals, Riemann-Liouville fractional integrals, Schweitzer inequality
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
Schweitzer’s inequality is a classical result in mathematical analysis that provides bounds for the product of integrals involving positive, increasing, and concave functions; it plays a significant role in the study of integral inequalities and has inspired various generalizations in modern fractional calculus. In this paper, we establish an extension of the classical Schweitzer inequality in the framework of left conformable fractional integrals. Building upon recent works based on Riemann-Liouville fractional integrals, we generalize these results to the framework of conformable fractional integrals. Finally, we provide some examples showcasing how our result refines and improves upon previous results.