A Discrete Grüss Type Inequality and Applications for the Moments of Random Variables and Guessing Mappings [PDF]
, 1999 A new discrete Grüss type inequality and applications for the moments of random variables and guessing mappings are ...
Dragomir, Sever S, Diamond, N. T
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Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial
Journal of Inequalities and Applications, 2022 In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi +3 more
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Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood +2 more
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Construction of New Ostrowski’s Type Inequalities By Using Multistep Linear Kernel
Cumhuriyet Science Journal, 2023 In this paper, we construct a generalisation of Ostrowski’s type inequalities with the help of new identity. By using this identity, we construct further results for ģ^'∈L^1 [c ̇,d ̆ ],ģ^'∈L^2 [c ̇,d ̆ ],ģ^''∈L^2 [c ̇,d ̆ ].
Yasır Qayyum +3 more
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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A Grüss Type Discrete Inequality in Inner Product Spaces and Applications [PDF]
, 1999 A Grüss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and Lipschitzian vector valued mappings are ...
Dragomir, Sever S
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Integral inequalities via fractional quantum calculus
Journal of Inequalities and Applications, 2016 In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad +2 more
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Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
Dragomir, Sever S
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A Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear spaces and applications for the discrete Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings are ...
Dragomir, Sever S
core +5 more sources
General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
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