Add to ORKGIn this paper we obtain few valuable identities by using Lidstone's polynomial. Further, the identities were applied for constructing new generalizations of Steffensen's inequality, namely for (2n) - convex and (2n + 1) - convex functions. In addition, using Cebysev and Gruss type inequalities we consider the bounds for the integrals in the perturben versions of the previously described identities. Moreover, related Ostrowski type inequalities are given. Key words: Steffensen's inequality, generalizations, n-convex functions, Lidstone polynomial, Ostrowski-type inequality, Gruss-type inequality
Copyright c © 2014 Iddrisu, Okpoti and Gbolagade. This is an open access article distributed under t...
In this paper, we recall Ostrowski’s inequality, Hadamard’s inequality and the definition of log-con...
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite ...
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen's ...
By using Fink's Identity, Green functions, and Montgomery identities we prove some identities relate...
By using Fink’s Identity, Green functions, and Montgomery identities we prove some identities ...
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by ...
A new generalization of Steffensen's inequality and other inequalities related to Steffnesen's inequ...
Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functio...
By using generalized Montgomery identity and Green functions we proved several identities which assi...
By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new gener...
By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new gener...
Abstract By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a ...
In this paper generalized Steffensen type inequalities related to the class of functions that are “c...
As the title suggests, the present dissertation deals with the re�nements of Jensen- Ste�ensen and r...
Copyright c © 2014 Iddrisu, Okpoti and Gbolagade. This is an open access article distributed under t...
In this paper, we recall Ostrowski’s inequality, Hadamard’s inequality and the definition of log-con...
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite ...
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen's ...
By using Fink's Identity, Green functions, and Montgomery identities we prove some identities relate...
By using Fink’s Identity, Green functions, and Montgomery identities we prove some identities ...
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by ...
A new generalization of Steffensen's inequality and other inequalities related to Steffnesen's inequ...
Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functio...
By using generalized Montgomery identity and Green functions we proved several identities which assi...
By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new gener...
By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new gener...
Abstract By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a ...
In this paper generalized Steffensen type inequalities related to the class of functions that are “c...
As the title suggests, the present dissertation deals with the re�nements of Jensen- Ste�ensen and r...
Copyright c © 2014 Iddrisu, Okpoti and Gbolagade. This is an open access article distributed under t...
In this paper, we recall Ostrowski’s inequality, Hadamard’s inequality and the definition of log-con...
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite ...