NEW GENERALIZED INTEGRAL INEQUALITIES VIA (H, M)-CONVEX MODIFIED FUNCTIONS Новые обобщенные интегральные неравенства через (h, m)-выпуклые модифицированные функции

Bayraktar, BAHTİYAR; Valdés, J.E.

doi:10.35634/2226-3594-2022-60-01

NEW GENERALIZED INTEGRAL INEQUALITIES VIA (H, M)-CONVEX MODIFIED FUNCTIONS Новые обобщенные интегральные неравенства через (h, m)-выпуклые модифицированные функции

Atıf İçin Kopyala

Bayraktar B., Valdés J. N.

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, cilt.60, ss.3-15, 2022 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 60
Basım Tarihi: 2022
Doi Numarası: 10.35634/2226-3594-2022-60-01
Dergi Adı: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.3-15
Anahtar Kelimeler: Hermite-Hadamard inequality, Holder inequality, power mean inequality, weighted integrals, (m, h)-convex functions, HERMITE-HADAMARD TYPE, DIFFERENTIABLE MAPPINGS, FRACTIONAL INTEGRALS
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© Askhadullin Damir F., Askhadullin Danil F., Vasilova N.Z., Brykova A.N., 2022.In this article, we establish several inequalities for (h, m)-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.