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In this paper, we provide a new version of Steffensen inequality for $p$-calculus analogue in [17,18] which is a generalization of previous results. Also, the conditions for validity of reverse to $p$-Steffensen inequalities are given. Lastly, we will obtain a generalization of $p$-Steffensen inequality to the case of monotonic functions.
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참고문헌 (21)
참고문헌 신청
M.H. Annaby / 2012 / q-Fractional Calculus and Equations / Springer-Verlag
A. Aral / 2013 / Applications of q-Calculus in Operator Theory / Springer
J.A. Bergh / 1973 / Generalization of Steensen inequality / J. Math. Anal. Appl 41:187~191
P.S. Bullen / 1970 / The Steensen inequality / Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz (320-328):59~63
P. Cerone / 2007 / Special functions : approximations and bounds / Appl. Anal. Discrete Math 1(1):72~91
A. Aral / 2013 / Applications of q-Calculus in Operator Theory / Springer
J.A. Bergh / 1973 / Generalization of Steensen inequality / J. Math. Anal. Appl 41:187~191
P.S. Bullen / 1970 / The Steensen inequality / Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz (320-328):59~63
P. Cerone / 2007 / Special functions : approximations and bounds / Appl. Anal. Discrete Math 1(1):72~91
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