Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we prove a new quantum integral equality involving a parameter, left and right quantum derivatives. Then, we use the newly established equality and prove some new estimates of quantum Ostrowski, quantum midpoint, quantum trapezoidal and quantum Simpson's type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities are the refinements of the existing inequalities inside the literature. Finally, some examples and applications are given to illustrate the investigated results.
Açıklama
Anahtar Kelimeler
Midpoint Inequalities; Trapezoidal Inequalities; Ostrowski's Inequalities; Simpson's Inequalities; Quantum Calculus; Convex Functions, Hermite-Hadamard Inequalities; Midpoint Type Inequalities; (Alpha
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
6
Sayı
3
