Results 21 to 30 of about 68 (67)

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Annales Mathematicae Silesianae
In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely
Páles Zsolt, Pasteczka Paweł
doaj   +1 more source

Complete positivity order and relative entropy decay

Forum of Mathematics, Sigma
We prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li   +3 more
doaj   +1 more source

Some new bounds of Chebyshev and Grüss-type functionals on time scales

Applied Mathematics in Science and Engineering
In this work, Korkine and Sonin's identities are defined on arbitrary time scales. These identities are utilized to establish the Chebyshev and Grüss-type inequalities on time scales.
Ammara Nosheen, Khuram Ali Khan, Muhammad Kashif, Rostin Matendo Mabela   +3 more
doaj   +1 more source

Hyers-Ulam stability of Davison functional equation on restricted domains

Demonstratio Mathematica
In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool   +3 more
doaj   +1 more source

Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals

Applied Mathematics in Science and Engineering
In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan, Iqra Ikram, Ammara Nosheen, Ndolane Sene, Y. S. Hamed   +4 more
doaj   +1 more source

Weighted Ostrowski-Grüss type inequalities

, 2015
Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
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Extension of Karamata inequality for generalized inverse trigonometric functions

, 2015
Discussing Ramanujan\u27s Question 294, Karamata established the inequality … which is the cornerstone of this paper. We generalize the above inequality transforming into terms of arctan and artanh. Moreover, we expand the established result to the class
POGÁNY, Tibor K., BARICZ, Árpád
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© Hindawi Publishing Corp. LOCAL STABILITY OF THE ADDITIVE FUNCTIONAL EQUATION AND ITS APPLICATIONS

, 2001
The main purpose of this paper is to prove the Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen’s functional equation for a large class of
Byungbae Kim, Soon-mo Jung
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Дискретно обобщение с максимуми на неравенството на Гронуол-Белман и приложения

, 2012
Снежана Христова, Кремена Стефанова, Лиляна Ванкова - В работата са решени няколко нови видове линейни дискретни неравенства, които съдържат максимума на неизвестната функция в отминал интервал от време.
Hristova, Snezhana, Stefanova, Kremena, Vankova, Liliana   +2 more
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