Grüss-type fractional inequality via Caputo-Fabrizio integral operator
Acta Universitatis Sapientiae: Mathematica, 2022 In this article, the main objective is to establish the Grüss-type fractional integral inequalities by employing the Caputo-Fabrizio fractional integral.
Asha B. Nale +2 more
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q-Integral inequalities associated with some fractional q-integral operators [PDF]
, 2015 In recent years fractional q-integral inequalities have been investigated by many authors. Therefore, the fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the development of many branches of pure and ...
Agarwal, P +3 more
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Desigualdades fraccionarias generalizadas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach [PDF]
, 2022 Usando fórmulas de Taylor vectoriales fraccionarias izquierda y derecha de Caputo generalizadas, establecemos desigualdades fraccionarias mixtas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach.
Anastassiou, George A.
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Journal of Inequalities and Applications, 2023 We prove new Ostrowski-type α-conformable dynamic inequalities and its companion inequalities on time scales by using the integration-by-parts formula on time scales associated with two parameters for functions with bounded second delta derivatives. When
Ahmed A. El-Deeb
doaj +1 more source
Inequality for power series with nonnegative coefficients and applications [PDF]
, 2015 We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients.
Dragomir, Sever S
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On some dynamic inequalities of Ostrowski, trapezoid, and Grüss type on time scales
Journal of Inequalities and Applications, 2022 In the present manuscript, we prove some new extensions of the dynamic Ostrowski inequality and its companion inequalities on an arbitrary time scale by using two parameters for functions whose second delta derivatives are bounded.
Ahmed A. El-Deeb
doaj +1 more source
Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications
Mathematics, 2022 We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function.
Hari Mohan Srivastava +4 more
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
, 2009 In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
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Combinatorial extensions of Popoviciu\u27s inequality via Abel-Gontscharoff polynomial with applications in information theory [PDF]
, 2020 We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions.
Josip Pečarić +3 more
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