Ostrowski, Grüss, Čebyšev type inequalities for functions whose second derivatives belong to Lp(a,b) and whose modulus of second derivatives are convex
Arif Rafiq COMSATS Institute of Information Technology, Pakistaná
Farooq Ahmad Bahauddin Zakariya University, Pakistaná
Resumen.
Se establecen desigualdades de tipo Ostrowski, Grüss, Čebyšev que comprenden funciones cuyas segundas derivadas pertenecen a $L_{p}(a,b)$ y cuyos módulos de segundas derivadas son convexos. Los resultados obtenidos proporcionan mejores cotas que las actualmente disponibles en la literatura.
Abstract.
Ostrowski, Grüss, Čebyšev type inequalities involving functions whose second derivatives belong to $L_{p}(a,b)$ and whose modulus of second derivatives are convex are established. The results provide better bounds than those currently available in the literature.
Palabras claves. Ostrowski Grüss-Ceby inequalities, modulus of second derivative convex,
convex function.
