Results 31 to 40 of about 40,085 (287)
Refined estimates and generalization of some recent results with applications
AIMS Mathematics, 2021 In this paper, we firstly give improvement of Hermite-Hadamard type and Fej$ \acute{e} $r type inequalities. Next, we extend Hermite-Hadamard type and Fej$ \acute{e} $r types inequalities to a new class of functions.
Aqeel Ahmad Mughal +4 more
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Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales
Discrete Dynamics in Nature and Society, 2012 We will prove some new Opial dynamic inequalities involving higher order derivatives on time scales. The results will be proved by making use of Hölder's inequality, a simple consequence of Keller's chain rule and Taylor monomials on time scales.
Samir H. Saker
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AIMS Mathematics, 2021 This paper deals with introducing and investigating a new convex mapping namely, n-polynomial exponentially s-convex. Here, we present some algebraic properties and some logical examples to validate the theory of newly introduced convexity.
Muhammad Tariq +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces.
Mourad Kerboua +2 more
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Mathematics in Engineering, 2022 We are concerned with the uniqueness of mild solutions in the critical Lebesgue space $ L^{\frac{n}{2}}(\mathbb{R}^{n}) $ for the parabolic-elliptic Keller-Segel system, $ n\geq4 $.
Lucas C. F. Ferreira
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Some integral inequalities for generalized preinvex functions with applications
AIMS Mathematics, 2021 The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea.
Muhammad Tariq +3 more
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On some tensor inequalities based on the t-product [PDF]
arXiv, 2021 In this work, we investigate the tensor inequalities in the tensor t-product formalism. The inequalities involving tensor power are proved to hold similarly as standard matrix scenarios. We then focus on the tensor norm inequalities. The well-known arithmetic-geometric mean inequality, H{\" o}lder inequality, and Minkowski inequality are generalized to
arxiv
Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities [PDF]
arXiv, 2021 We give improvements and generalizations of both the classical Hardy inequality and the geometric Hardy inequality based on the divergence theorem. Especially, our improved Hardy type inequality derives both two Hardy type inequalities with best constants. Besides, we improve two Rellich type inequalities by using the improved Hardy type inequality.
arxiv
AIMS MathematicsSome new reverse versions of Hilbert-type inequalities are studied in this paper. The results are established by applying the time scale versions of reverse Hölder's inequality, reverse Jensen's inequality, chain rule on time scales, and the mean ...
Haytham M. Rezk +4 more
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Some new Caputo fractional derivative inequalities for exponentially (θ,h−m)–convex functions
AIMS Mathematics, 2022 Firstly, we obtain some inequalities of Hadamard type for exponentially (θ,h−m)–convex functions via Caputo k–fractional derivatives. Secondly, using integral identity including the (n+1)–order derivative of a given function via Caputo k-fractional ...
Imran Abbas Baloch +5 more
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