منابع مشابه
On a Discrete Opial-type Inequality
The main purpose of the present paper is to establish a new discrete Opial-type inequality. Our result provide a new estimates on such type of inequality.
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This paper presents improvements of some Opial-type inequalities involving the RiemannLiouville, Caputo and Canavati fractional derivatives, and presents some new Opial-type inequalities. Mathematics subject classification (2010): 26A33, 26D15.
متن کاملAn Opial-type inequality with an integral boundary condition
We determine the best constant K and extremals of the Opial-type inequality ∫ b a |yy ′| dx ≤ K(b − a) ∫ b a |y ′|2 dx where y is required to satisfy the boundary condition ∫ b a y dx = 0. The techniques employed differ from either those used recently by Denzler to solve this problem or originally to prove the classical inequality; but they also yield a new proof of that inequality.
متن کاملOn an Opial Inequality with a Boundary Condition
R.C. Brown conjectured (in 2001) that the Opial-type inequality
متن کاملKneser’s theorem in q-calculus
While difference equations deal with discrete calculus and differential equations with continuous calculus, so-called q-difference equations are considered when studying q-calculus. In this paper, we obtain certain oscillation criteria for second-order q-difference equations, among them a q-calculus version of the famous Kneser theorem. PACS numbers: 02.30.Hq, 02.30.Gp, 02.30.Ks, 02.30.Lt, 02.2...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1928-z