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Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and ...
Zhaowen Zheng, Yingjie Zhang, Jing Shao
doaj   +2 more sources

A note on an integral inequality [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1957
Recently, K. Tatarkiewicz [1] proved an interesting integral inequality which we shall state as Theorem I. The purpose of this note is to prove-by precisely the same technique used in [1 ]-a considerably more general result (Theorem II). We finally apply Theorem II to the proof of a result comparing the first eigenvalues of two second-order, linear ...
Paul R. Beesack
openalex   +2 more sources

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

open access: yesAdvances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen   +5 more
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Nonoscillation and integral inequalities [PDF]

open access: goldBulletin of the American Mathematical Society, 1974
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
Shmuel Friedland
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Some Integral Inequalities [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1962
1. The purpose of this paper is to present a general integral inequality concerning subadditive functions and to make applications of this inequality. The applications pertain to relations among integrals involving first and second differences of LP functions.
Richard P. Gosselin
openalex   +3 more sources

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li   +4 more
doaj   +2 more sources

An integral inequality [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1963
D. O. Banks
  +4 more sources

Disconjugacy and integral inequalities [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1980
The basic data in this paper are a disconjugate differential operator and an associated two-point boundary value problem. These define in a natural way a cone of functions satisfying a differential inequality with respect to the operator. By using a result of P. W. Bates and G. B.
Achim Clausing
openalex   +2 more sources

Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m) ${(\alpha,m)}$-convex functions

open access: yesJournal of Inequalities and Applications, 2019
In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi   +3 more
doaj   +2 more sources

Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]

open access: yesHeliyon
Various differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
doaj   +2 more sources

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