Аннотация:
В данной работе получено некоторое уточнение неравенств Беккера–Штарка и приводится простое доказательство этого нового неравенства.
Библиография: 11 названий.
Chen X.-D., Wang H., Yang K., Xie J., “New Bounds of Wilker- and Huygens-Type Inequalities For Inverse Trigonometric Functions”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 115:1 (2021), 36
Chen X.-D., Yang K., Gong S., Zhu L., “A Family of Wilker'S Inequalities in Two Parameters and Its Applications”, J. Math. Inequal., 15:1 (2021), 421–441
Zhu L., “New Bounds For the Sine Function and Tangent Function”, Mathematics, 9:19 (2021), 2373
Wu Y., Bercu G., “New Refinements of Becker-Stark and Cusa-Huygens Inequalities Via Trigonometric Polynomials Method”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 115:2 (2021), 87
Zhu L., “New Bounds For the Ratio of Two Adjacent Even-Indexed Bernoulli Numbers”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 114:2 (2020), 83
Zhu L., “Monotonicities of Some Functions Involving Multiple Logarithm Function and Their Applications”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 114:3 (2020), 139
Chen X.-D., Ma J., Li Y., “Approximating Trigonometric Functions By Using Exponential Inequalities”, J. Inequal. Appl., 2019, 53
Chen Ch.-P., Elezovic N., “Generalizations and Refinements of Steckin-Type Inequality For Tangent and Secant Functions”, J. Math. Inequal., 13:2 (2019), 505–526
Zhang B., Chen Ch.-P., “Sharpness and Generalization of Jordan, Becker-Stark and Papenfuss Inequalities With An Application”, J. Math. Inequal., 13:4 (2019), 1209–1234
M. Nenezic, L. Zhu, “Some improvements of Jordan-Steckin and Becker-Stark inequalities”, Appl. Anal. Discret. Math., 12:1 (2018), 244–256
L. Zhu, “New bounds for the exponential function with cotangent”, J. Inequal. Appl., 2018, 106, 13 pp.
X.-D. Chen, J. Ma, J. Jin, Y. Wang, “A two-point-Padé-approximant-based method for bounding some trigonometric functions”, J. Inequal. Appl., 2018, 140, 15 pp.
Ch.-P. Chen, N. Elezovic, “Sharp Redheffer-type and Becker-Stark-type inequalities with an application”, Math. Inequal. Appl., 21:4 (2018), 1059–1078
Yu. Nishizawa, “Refined quadratic estimations of Shafer's inequality”, J. Inequal. Appl., 2017, 40, 11 pp.
Ch.-P. Chen, R. B. Paris, “Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, I”, Math. Inequal. Appl., 20:4 (2017), 1003–1016